Yep, these are bugs and they will stay. Don't push into your player because you might move but not move if you know what I mean. Also, don't follow to closely when a player exits or you might die.
Unfortunately these are bugs based on cloning some old logic to ensure you can do tricks like both go through the same door at the same time (conditions apply). Due to some levels requiring tricks and the consistency of both recorded games and high scores these will remain "features".