To some extent... it doesn’t matter. I’m gay: and if you randomly assigned me to a group that has to listen to gay stereotypes, it would still be wrong. Even though the method of assignment is technically okay.
Why it’s wrong is debatable. But at least for me it’d be wrong because honestly... that would drag up a lot of psychological trauma for me. Like “I need to take some time off work” bad.
Even if you can predict who that will happen to.. and you try to account for it.. there is no margin of error here that’s acceptable, especially when the material in question could be completed another way.
So yeah. This is a really, really bad look for the Googs here. :(