This constellation is plausibly if not probably duel-use technology. You can bet that China is planning ways to disable it if war breaks out.
But more to your point I agree; they won't try to destroy the constellation itself over something as petty as a few people using Starlink to circumvent their 'Great Firewall'. People sufficiently motivated to get around the firewall already can, without the need for Starlink. The CCP doesn't seem to care about it; the firewall doesn't need to be perfectly airtight to control the population, it only needs to be 'good enough'. And they wouldn't want to expose any new anti-satellite weapons they have, particularly soft-kill weapons that might be addressed after discovery with a software patch.
So there still seems to be some restraint around the concept of shooting down foreign satellites. I guess it's a "mutual assured destruction" type situation: once you shoot down a satellite, you'd better be prepared to lose your own.
[1] https://www.nato.int/cps/en/natohq/news_188780.htm
[2] https://www.cnbc.com/2022/03/22/elon-musk-spacex-thousands-o...
On the other hand, providing free media merely to subvert the people of main land China could be seen as a company over stepping it's bounds by far.
I will bet China would sanction anyone who dealt with Starlink.