It's quite obvious to me that they were advocating against promoting Zoom by using it in any manner. That is, playing tabletop games or otherwise.

I had a similar reaction when I read this thread's title: "I can't believe the frontpage was flooded with articles about Zoom being controversial privacy-wise a couple of days ago and now this pops up".

Correct. If you are playing battleship they will know you have your destroyer parked at E2.

Game over.