Didn’t one or more basketball coaches get some psychologists to help their team with “the yips”?
My argument would be that the mechanics should be so automatic you could hit them with your eyes closed, so it doesn’t matter who is watching. Granted some shots are going to be more high pressure, but games are won and lost by those shots, so its worth extra time practicing, like right now, and you don’t even need the team to get together for it.