2 U.S. carriers deployed

[anon45]

On the contrary, wouldn't the rising super power love to teach a trick or 2 to 'the' super power? If I was the rising power, wouldn't it be ideal to prove to the super power that the I have the technology and the capability to strike back? Would such theatricals act as a deterrence to any misadventure?

If its purpose was deterrance, and assuming that the carrier was actually caught off guard, then it failed its purpose.

 

[JSCh]

So this is to deter deterrance? Because if the US and China wen't to war in a Taiwan conflict, the carriers wouldn't be operating in the Taiwan straits, even during the time when the US actually sent a carrier through the straits. Also much better to spend money and time than to expend blood and hulls. Make no mistake the USN wouldn't charge into an area if it knew subs were operating there (or even if it just didn't know), but it would still enter the area if it had to to accomplish the mission, it would just be more alert.

As long as USN has reservation in entering the area, and would not do so if the mission objective is deem not valuable enough to outweigh the risk, that would have full fill the objective of A2/AD strategy.

And yet what has been deterred? How would you even be in a position to know if they 'got the message'? According to all metrics the message was recieved but disregarded. Instead they opted to continue what they've been doing.

That is your opinion.
It is true that Chinese strategist prefer to keep their hand hidden, but submarine warfare is by its very nature murky and obscure, and the situation in east asia is a bit different.
One look at the no. of SSN that US have, and the JMDF's outsize diesel sub, plus a disproportionally obscene no. of ASW hardware for JSDF (from wiki, it has 101 P-3C, five EP-3, one UP-3C, three UP-3D), plus the USN P-3 and just recently the brand new P-8 stationed in japan, it doesn't take a genius to figure out that ASW is top priority and an aggressive threat to Chinese submarine force.
China knew that it is unlikely that policy would change, because even if US do not consider China sub a credible threat, US would still push the Japanese to invest aggressively in ASW in-order to contain Chinese force within the first island chain.
What China can do is to show that Chinese sub could function effectively regardless, lest the opponent is getting too confident and also hopefully prove the futility of USN and Japanese ASW endeavor.
Not long ago, a Chinese sub surfaced and sail through the first island chain while return to port in mainland from the pacific. The Japanese went berserk in protest. A surfaced sub is vulnerable and harmless and she is sailing through international water returning to port. What right do the Japanese has to protest to that and more importantly why?
Also, few days ago, while the U.S. carriers is in the west pacific, a flotilla of seven Chinese warship sail through the first island chain into the west pacific. Included in the flotilla are 2 submarine rescue/support ship.
I do not think the message those actions sent would be so obscure that Washington and Tokyo do not get it.

 

[JSCh]

Where the 2 U.S. carriers are (12 Oct 2012), also where they have been.

"Carrier Strike Groups Operate in Andaman Sea"

military.com/daily-news/2012/10/12/carrier-strike-groups-operate-in-andaman-sea.html?comp=7000023468025&rank=1