I would argue that a CSG has a strike range of ~1000 miles quite easily against opponent vessels with minimal refueling using stand off weapons. That would put it outside the range of most PRC assets with notable exceptions of DF-26, H-6, and perhaps YJ-21. It also puts it outside unrefueled opponent fighter cover and a week+ cruise for SSKs. The primary ISR threat at this range is probably orbital.
That said, a CVN is a huge number of eggs in one basket.
That said, a CVN is a huge number of eggs in one basket.