Generally, yes. In 2015 CNNIC's new certs were removed from most browsers after they gave an Egyptian security company an Intermediate CA certificate for internal use that got leaked to the public. But that was for incompetence more than malice, and I think everyone's accepted them back now.

It is worth noting that there haven't been any observed cases of China abusing their CA certificates in the last few years, but it's hard for Westerners to monitor what is going on inside China.