There's absolutely rigging involved, and some things that "go viral" are hand picked to do so. But that doesn't mean the users are powerless consumers which have no choice over what is shown on the FYP. My personal feed is apolitical.
Other thing is what it's do, when no history is accessible:
Just use the most viewed Videos as start. Or, may be conclude out of other users local to you, what might be of interest in the very moment and the very place.
User settoschool is right. Anti China Propaganda is where you think of being influenced by the Chinese propaganda in the first place, rather assuming a "simple" algorithm that shows what happens and what is watched around you.
Might be all around are also afraid by the Chinese?
You see on Tik Tok what you choose to see! When I look at people watching Tik Tok on the bus, I mainly see kids watching advertisments disguised as content.
Dig a bit deeper to see how Tik Tok works. You will find that the algorithm is running with you in real time and you choose what you see.
/semi-serious sarcasm