The criminal Chinese government is going to have a difficult time with Starlink.
With SpaceX's scale and low cost, I suppose it's even possible they could adopt a model where China tries to shoot down their satellites when they are over China and when they're successful SpaceX just replaces them with spares. It's possible that launching satellite-killer missiles will cost China significantly more than replacing satellites will cost SpaceX which might make it a non-viable approach for the Chinese. (Note: I don't know anything about anti-satellite missiles, so just idly speculating).
Most likely beamforming will be used to avoid servicing Chinese territory as much as possible, and they will not try to have people smuggle receivers into China.
Not that I'm in favor of a censored internet but it's a reality of China and it would perhaps work even better with something like the Starlink. Satellite internet relies on ground stations to know what to beam out on requests. China would operate their own regional ground stations resulting in a complete centralization of all access from China.
Only reason I see this not happening is if China chose to develop their own similar solution, which is perhaps a real possibility.