You guys seem to forget that 1 US carrier and escorts =/= 1 Chinese carrier and escorts =/= 1 Indian carrier and escorts.
US carriers are highly effective tools of war to project power and make war anywhere on earth they please. China does not have this power in military tools. India has much much less of this ability than even China which is already low. At best both India and China can project military power to region.
1 US carrier is effective in a way China's is not yet. India's is much less simply because it does not have SSN that is not simply rented Akula class from Soviet times. Then there is domestic large ships and weapon and electronic systems. Even the radar is Israeli. China's doesn't have the numbers the Americans have and doesn't have the bases everywhere on earth. USA has hundreds of bases with whatever they want to put on them. China has half a base in Africa. Power projection is much less necessary for China and India at this point.
However China is developing carriers and building its carrier technology and skills and industry. This is important not for what it produces today but what can be done years from today. The same applies with India. Our carriers are not the same in operation as American carriers. However Indian carrier I would say seems much less secure than even China's CV-16 simply because India's Barak missile systems cannot perform as well as HHQ-16B + HHQ-9B systems and their AESA cannot perform as well as even old Type 346 not to count Type 346A or newer dual band on 055 destroyers. Nowhere near as many destroyers and frigates as PLAN and nowhere near as many AIP SSK or PWR SSN. Of course there are also HGV antiship weapons and land launched maneuverable warheads from anti ship ballistic missiles of different ranges. I think on area denial, China's ability greatly exceed India's for surface fleet attack. For example if PLAN can withstand 10 hours fighting with USN before overwhelmed, India could stand 1 hour. Of course India has no HGV weapon in service unlike China's several types and India has no AShBM at all and no network of sensors for their guidance in HALE and in space. I don't think India has China's underwater acoustic network on the ocean floor or autonomous drones.
As for carrier used against neighbours, Pakistan has the ability to destroy India's two carriers and fleet with ease if it has air superiority. The problem is Pakistan cannot gain air superiority against India's airforce which is much larger and overall about equal in ability except new Rafale is a great boost to IAF's ability. If Pakistan can control the air near Indian carriers, they can overwhelm them simply because Indian navy just doesn't have enough good escorts that can perform interception of attack swarms and attack aircraft at the same time. Barak-8 is not enough to attack aircraft. However IAF will make sure PAF does not gain this range to attack.
Pakistan has no HGV and no AShBM. It has no stealth fighter, no stealth bomber, no stealth strike drones. If the question is important for Pakistan to be able to sink India's carriers, it would buy these weapons from China but J-20 is not available for export, neither is GJ-11 or any other more sensitive Chinese drone that is not yet revealed. AShBM and HGV is a different story and purely defensive weapons so in secret like China sold ballistic missile to Turkey and UAE in the past, perhaps is possible and if it is ever done, will never be revealed in public. Iran has its own AShBM and neither Russia or China would respond to US invasion of Iran without strong response. Simply no way it would be allowed to have US install government into Iran, so close and strategically important for both Russia and China.
India's carriers allow India to engage Pakistan airforce is more directions and it would be more a job for Pakistan's navy, particularly the submarines to engage. Luckily the space is small and SSK can wait in position. Depending how good India's submarine warfare is at, they will struggle with making sure their carrier are not sunk by a torpedo from PN submarine. One single torpedo and one single SSK that is missed by IN is all it will take. How well is India protecting this asset and developing definite security in submarine warfare?