What people outside of China think is much less of a concern.
There are around 360k Chinese students in the US. If China didn't do anything to counter it, that would be a lot of educated young people eventually returning to China to take influential jobs who are aware of Tiananmen.
Would China go so far as to stop allowing their students to study in the US to stop that? Or would they just to to convince the students that the US is lying?
At Auburn University in the late 90s there was a seemingly random murder of a Chinese grad student and his wife. The local police were mystified because it didn't match a typical homicide and there appeared to be no motive, not even robbery. Eventually it turned out that the student was the son of a important regional politician back in China. His enemies had the son and daughter-in-law murdered in the United States to send him a message. Similar demonstrations of the long reach of the Chinese government could be made to students studying in the United States if they as a group started creating difficulties for the official narrative.
For those that have bought into the propaganda, the impression is generally that the government put down a dangerous riot that was killing innocents.
Start of the Twitter uh "thread" (not sure how to refer to these) https://twitter.com/Chinahnpy/status/1129327748743409664?s=2...
Here's the start of some tiananmen discussion: https://twitter.com/komali_2/status/1133764941675094016?s=20
Edit: both are, after all, caused by religious nationalism. Let's not ignore one of them.
https://www.scmp.com/news/china/policies-politics/article/21...
https://www.nytimes.com/2018/09/28/world/asia/china-maoists-...