You need to reformat your answer because I cannot see where my comment end and yours begin, I may have left out something I did not answer, simply because I did not see it
The way I see it if a car is going towards a snail at whatever speed it is it needs not to change direction on every zig-zag move of snail but it has to do maximum 2 to three maneuver to take out snail ... And if these two maneuvers are accurately controlled by computers than chances of hitting the snail are very high ... If a hit probability is 50% then on average I require 2 missiles per aircraft career ...
Problem is, aircraft carrier is not a snail, nor would a missile is a car in this comparison.
Say I want to shoot a Mach 2 missile on a car. A car can turn less agile than a missile, and a car is most definitely slower than a missile, but when you are talking about sudden turn which mean a missile have to correct its course practically before it hit the target, because it is travelling very fast, hence even if I shoot missile at a car, I would still miss, and probably missed a lot, and now that is before a car can shoot back and shoot down your missile.
Now, going back to ASBM, you are talking about a missile that over shoot for 1 second you will be about 10 to 20 km out of your target, and in this case, speed work against homing in the target, because
A.) You are too fast, any overshoot and undershoot will be miles off target, and if you compound it with the "frequency" you need to correct your course, that just going to be a lot more error margin. And that is, most important of all, you can make that many correction.
B.) You are too fast, the reaction time will not allow you to make that many correction anyway.
The example of the stinger is further strengthening my point ... With your experience you know that how effective a stinger could be against a heavy transport helicopter v/s an attack helicopter vs a commercial plane vs a supersonic fighter aircraft ...
A heavy transport helicopter is a simple and easy task for stinger as compared to against supersonic fighter aircraft as maneuverability and speed of transport aircraft is limited against air to air missiles similarly maneuverability of aircraft career is ignorable in front of aircraft career ... The missile is moving 1000s time faster than aircraft career, therefore, missile has alot of distance to react and is not required to do course correction every now and then ... with few adjustments that too at terminal stage will be enough to counter all the maneuverability of aircraft career ...
First of all, anything flying and dodging is hard to shoot down, I don't know where your "Heavy Transport Helicopter" is simple and easy task. If they don't move, then yes, but if they move violently and the pilot know what they are doing, they can still dodge it, there are numerous Blackhawk dodging missile video on youtube you can go check it out.
As for how to dodge it, I am not a pilot so I wouldn't know.
Second of all, missile do not have many distant to react because missile flight time is quick. You can make a few course change, but as a slower object, you can always out manoeuvre a faster object, that is the physical properties it follow, and to intercept something which mean you have to out-manoeuvre them, and til now you still failed to adjust this point
And finally a Mach 2 AA missile is not a Mach 6 ballistic Missile, my example is to show you how difficult to line up a target with a mach 2 AA missile, if you are shooting a Mach 6, it would be a lot harder, because then, there are more adjustment you need to make but you have less reaction time and physical constrain to make them.
My point is simple, that if anti-ballistic missile system works than an anti ship ballistic missile is much lower tech ... Modern ballistic missiles do self-course correction on predefined rules (not known to anti-ballistic missile system) but still anti-ballistic missile systems do take care of all those changes in course and have active seekers for the terminal stage ... Using the same principle ballistic missiles taking aircraft careers is a much easier job ...
How? Change in course in a Mach 2 or 3 ABM is a lot easier than on a Mach 6 ASBM, that is for starter, then pile up with the fact that your target would be able to move more frequent and more constant than you in a Mach 6 missile, and your target can shoot back, all in the while, as a ASBM controller, you do not actually see the target because as I point out, there are no true 'Real Time" guidance system in the world, which mean you have a lag between control time and actual inflight time. Unlike I am looking down at the launcher of a Stinger missile.
So how exactly it is much easier for a ASBM to target a Ship like aircraft carrier? It would be lucky if they can actually find it to begin with, because depends on your lag time, your are going to face a different hit box for your missile when it reaches target area. And while I cannot tell you what is the ISTAR lag time for US Military, I can tell you this, even if we shoot a US missile with all the ISTAR asset in place, if you fire blind (as in had not acquire a target when you fire) you are looking at a hit box over 100 km2, and I don't think China have a better ISTAR lag time than the US.
You still think a Mach 6 missile can change course or alter course as easily as a Mach 2 ABM, the answer is, it does not, and physically cannot be. Because of the physical properties such as Reaction Force, Counter Torque and Gravity.
The reasons why US and Russia did not do it as they already tried them back in the 70s but were limited by the tech of that time but now China using today's tech has done it ...
Why US don't need it ? Because they don't have any credible threat from any aircraft career even till to date ... China and Russia fleet are only for the defensive purpose ... The Chinese navy is working to become a true blue water navy but in comparison to NATO Chinese are nothing ... The moment US feel threaten to be attacked at the mainland by aircraft carrier they will develop similar weapons ... Right now focus of US is on offense at anti ballistic missile defence ... No attack from sea on US mainland is under threat perception (except in the form of missiles)
China probably is strong enough to defend themselves but can't attack US mainland ...
The reason US don't need it is because it is outright useless, because ASBM can only be, by definition, a short range missile, because flight time would mean the gap between target acquisition and follow up and hitting the target would have increased, mean the longer the range the missile, the less accurate it would get. And since Fighter launch from aircraft carrier could theoretically have unlimited range via mid-air refuelling, and physically a fast missile could not be able to catch up with a slow target. That is the reason why US don't need them.
I don't know why Russia don't need it.
And you failed to see in my point of view that how much of a nightmare situation ISTAR on a offshore missile.
The cost of aircraft career is 5billion ... You add the aircraft and sellers it will not be less than 10 billion dollars ...
Lets assume that cost of a missile is 10 million dollars then I wouldn't mind spending 100 million on taking out 1 carrier ...
So if I can take out all aircraft careers of US at a cost of US 1 to 2 billion then I would be really happy man ...
The question is, can you just spend 100 millions and 10 missile on a carrier?
For starter, what if I stay out of the missile range and launch aircraft outside the range of the missile and push your up inland? I don't care how many missile you have, if you are out of range, you can't touch me even if you have 10,000 of them lying in wait, and I can send up fighter and refueller loiter outside your range and I can still do my job.
Even if I venture into your AO for whatever reason, can you still shoot me down? There are 5 kill chain a missile have to meet before making a kill. And you need to make all 5 to have the kill, but I only need to break 1 to break off the attack. The kill chain are
1.) OTH Radar pick up the target
2.) Communication between Satellite and Controller
3.) Launching the missile
4.) Keep the ISTAR on target by either Drone and Satellite
5.) Passing thru the AA Defence of the Carrier and its support group.
Every one of them can be broken, I can spoof the OTH radar and it pick up the wrong target, I can jam the communication between Satellite and controller, I can use sub launch or fighter launch cruise missile to deal with the Launcher before the missile is launch, I can shoot down the drone or satellite that feeding ASBM missile the location of the target. And finally I can intercept the missile either mid or terminal course.
Now, until all these are solved, ASBM is not much of a use for targeting, because it is a passive weapon, which mean you have to wait until the target appear in your range, but your target, can launch their sorties outside your range anyway to begin with and still finish the job.
And yes, of course, if everything work as it should, then yes, I will say 100 millions for a carrier is very much an advantage, however, anyone would know, things NOT ALWAYS work as it should. If so, I can also argue, if ASBM work as it should, then ABM also should work as it should and the two factor would still be even out.