Take the satellites out. Are the carriers still vulnerable? Isn’t this all part of combined arms? Neutralize the enemies advantages.
Other thing to consider is US ASAT capability is limited - only like ~20 ASM135 which can reach high (~500km) LEO were produced (but we don't really know how many exists). SM3s which US has ~500, not all of which are ASAT capable and validated at ~250km. A lot of Yaogan constellation are at ~500km. Those SM3s may reach that, but they also double as ballistic interceptors for high end AShMs. TBF we don't know much about PRC ASAT inventory, we just know they have capbility with industrial base to build a lot of ordnances.
PRC also can launch satellites rapidly via road mobile TELs, and have long range, disposable, supersonic drones like WZ8 as backup/redundant kill chain. Of course US likely has ability to quickly put up space assets as well. There's also all sorts consideration like US launching an coordinated ASAT strike is basically shooting 100s of missiles without warning - if it doesn't accidentally trigger MAD it's going to trigger use-it or lose-it counter strike. Doing it gradually/piecemeal = PRC will have time to respond.
Really it comes down to attrition/numbers game, but when space assets in the multi 100s, there's a lot of build in redundancy against decapitation strikes, which inherently makes such strikes more difficult to pull off, i.e. is US going to disperse elements in theatre because just about anything in 1IC can still likely be hit with PRC missiles without GPS using INS/dsmac/tercom navigation. PRC going to know somethings up if Yokosuka gets emptied and adjust retaliation posture accordingly.
Things gets complicated vs adversaries with modern ISR in the ~100s. Caveate being that club is pretty much US+PRC. RU also has 100s but a lot of it legacy. Essentially everyone else US would consider adversary like IR or NK has single digits, and would get steam rolled. 2010s PRC borderline in this category, their ISR fleets was low/mid double digits then. Hence carriers are hard to find/kill holds true for that calibre of forces. But "neutralize enemies advantages" is apropos, and against most US adversaries, US primacy is based on US having ability in neutralizing those advantages. Difference vs PRC is PLA spent last 20 years of modernization specifically to neutralize US advantages - that's what their systems confrontation/destruction warfare doctorine is designed around - build enough redundancy to mitigate and defeat US advantages.
The less bloody route = PRC feels like it's ascending power, and they may think eventually correlation of forces in region will make it obvious US security architecture can't deal with PLA. Ask yourself how much hardware PRC can hypothetically put in Canada, Mexico, Cuba, Carribeans to really deter US. The answer is probably no amount, because US size + disproprotional military potential is in aggregate much larger. PRC 300x ship building advantage is result of casual PRC 2% GDP military build up, they haven't even began the industrial scale arms race i.e. PRC mass gigafactory scale defense procurement. I think in next medium/long term years it will be increasingly clear US posture in region is not going to be survivable or enough to deter PRC. Combine with PRC building out global strike that can conventionally hit CONUS strategic targets may force US to substantially reduce (not abandon) their security posture in East Asia to level that PRC finds tolerable.
I think PRC ability to take TW is almost forgone - can always blockade or raze TW like gaza with purely mainland platforms and grind for capitulation. But after US made PRC containment goal explicit, there's really no seperating a TW scenario with broader PRC/US+co scenario anymore. TLDR is it could end very badly, but I think unspoken is it could end as badly for US as it does for PRC. I think it will end _very_ badly for US partners in region.
If navies are obsolete then Taiwan’s best course of action is reconciliation with China with the best terms they can find. Likewise for all other countries near China.