Is this appropriate behavior for managers? It seems not to me, but my experience is limited. It seems to me that "convincing someone to change" is inappropriate in just about, if not every, context and that being a manager doesn't make it more appropriate, it just makes the appropriate feedback (negative response, criticism) impossible.

If I found myself in this situation with a manager, I would ignore them to the degree possible and failing that, avoid them entirely, whatever that meant. Outside of a managerial context, I would just say something rude.