Not sure I get the equivalency in your argument.
Are you saying because a player plays for a “public” university they should be called out publicly??
If so, I’m guessing Vandy’s coach doesn’t have the right to call out a player in the media?
IMO, I think it’s a bad look for a coach either way. Anyone who has ever played sports is going to be more motivated by a coach they feel has their back. That coach can chew a$$ all he wants in practice and in the locker room.
However, doing so in public only risks alienating a player.