To show the fallacy of your argument, suppose the ChiCOMS today right now, had 11 functioning carrier BG's and we had none. How would you "feel" then?
PS: Any damage above the water line could take a carrier out of commission(for a while) it will not sink it. Torpedo damage would be more devastating but still not sink a modern carrier.
That same rule goes for pretty much any other asset in theater, from human resources on up.
Missiles have been, are currently and will likely remain an enormous threat. And when you have a dozen or so coming at you at once, well, good luck.