Three-Self (Christian Protestant)
China Christian Council (Christian Protestant)
Chinese Patriotic Catholic Church (Christian Catholic)
are the 3 Christian groups acceptable in China.
If I was in China and a Christian, I’d join one of those. They see alternatives as politically subversive, much as how the USA sees house churches with militias as potentially dangerous and monitor them, occasionally doing raids.
They aren’t under the US Constitution. Is it morally right/wrong? I don’t know.
US style secularism is the defacto State religion and it governs how we are supposed to view the relationship between govt and religious bodies under secularism.