As heated and two sided as this discussion appears to be, it still looks like simply placing your minions in an open spot is the best compromise. IE: If you're in Atlas, then find a spot where people aren't gathered and park them until you're done.
In confined spaces, when the thing is dead pull the pets back to you.
Doorways, let the non-MMs through first Unless there's a tactic to it. IE: you're team strategy is to keep from being followed. Say everyone's getting low on HP or End, then shove those pets in the door to allow everyone to start recovering while the AV noms on the pets When everyone recovers you'll have plenty of time to resummons and recover yourself.
Either way, it's a conscious burden on that of the MM and it's kind of what they should have expected when they took the AT. If the pets are bugging you, then maybe you have a new-2-the-AT person. Don't be rude, just kinda say "hey, they pets are sorta blocking things".