Yep, this is a common feature of a lot of CRT infused scholarship. Very common amongst academics. I find it repulsive.
You're right, the aim is to collectivise and dehumanise, and also, "bodies" is more emotive and visceral than "people". See also "existing" somewhere as opposed to "being" somewhere, "policing" instead of expecting certain well understood standards, and "can be harmful" as a stand in for literally anything the author doesn't like.
The battleground for much of CRT (and the woke agenda in general), is language. Specifically obfuscating it so that nobody is quite sure what is being said.
The foundation for Kendi's entire career has been substituting the word "equity" for the word "equality" and hoping nobody notices. That, and turning the concept of anti-racism into a thing that one *is* instead of something one does; "How To Be *AN* Antiracist", not how to be anti-racist. Inaccuracies like these add up when you're trying to talk about an issue with precision.
Schools are my main concern as well, precisely because young minds are especially vulnerable to this kind of linguistic manipulation. Though it seems plenty of adults are too.