It would be a difficult proposition to take out a carrier and will continue to be so for some time.
This is the salient point every time one of these articles comes out. Q: When was the last time a CVN was sunk in combat? A: Never. With their escorts and CAP getting through the defenses could take most of an adversary's military, if you can find the CVBG in the first place. Even then, you'll need a lot of hits to take one out. My money is on carriers until at least 2030 with a mix of F-35s and large UCAVs as the air wing.