Not saying this is a good thing (in fact I think it's a silly rule), but: kids in the western world have their 'freedoms' restricted all of the time. There are plenty of things that kids can't participate in or see. Those are mandated by various levels of the state, for the safety/benefit of the child (ostensibly).
And parents are constantly adjusting the things their kids can or can't do, often requiring kids to ask permission to do most things. Its a way of protecting them from their immature decision making ability (with functional parents anyway).
So I think the aversion is more based on the surprise that it seems to go 'further' than we'd expect in the west, and politics/culture turns that into something to criticize the CPC (or whatever governing body responsible) for because COMMUNISTS!!!