It makes me cringe to think my voice may have been recorded for training purposes and it's been played in front of a room full of people

😉

Usually when they say that it's for if a new person is listening in, from what I understand

It's almost never like that. It's more likely that your voice is going to be replayed in a one on one training/performance review, where the manager points out all the mistakes the poor sod made that you talked to.

I do a "Bluesky" usage training session. Can I use this please?