As I understand it, China has hypersonic missiles and nukes, whereas the US does not. Should a conflict in the South China sea break out, China could nuke US carrier groups assuming their satellites aren't taken out first. That spells game over for US projection of power if successful. China could deploy air and submersible drones to get around downed satellites, but these have the potential of being jammed with EMP,…
Is the premise here that carrier groups would be survivable in the absence of hypersonic missiles? They... aren't at all, are they?
CSGs are defended by the entire system operating in layers. During conflict conditions they'll have airborne early warning radar flying to see threats coming a long way out. There's usually at least 4 AEGIS equipped ships. The carrier air wing will be doing patrols and intercepting threats at great distance. The carrier itself will be practicing emissions control and hiding within the sizable perimeter created by all of the above. And there's a lot of sophisticated EW decoys and such, that we don't know much about from open sources other than they're taken very seriously.
There's plenty of room for debate about just how effective this all is against a nation like China that has a lot of satellite intelligence/surveillance assets, but the simplistic "carriers have no defense" articles are just empty clickbait. These articles usually assert that there's no defense whatsoever against ballistic missiles, which ignores that 2 of those 4 AEGIS ships will be specialized to do exactly that, and have demonstrated it in testing.
One interesting tidbit is a few years back the US Navy submitted a request to do an exercise where they'd demonstrate taking down an inbound salvo of several 100 missiles simultaneously. Congress declined to allocate the budget for it.
Military planners certainly aren't omniscient or infallible, but they're a lot more sophisticated than the content free contrarian takes you see thrown around on the internet a lot. It ends up being a doomsayer about military technology is a pretty easy grift as nationalists on various sides drink it up uncritically and people with authoritative knowledge on the topic are constrained from openly rebutting it. All that said you do see some pretty in depth open info from GAO reports, stuff from CSBA, etc.