In Nashville Poile pretty much had autonomy, but that's because he not only tried to do what was best for the team, but the owners as well. The owners pretty much made it clear he was in control to do what he wanted.
Trotz, based on his comments, talks to them regularly, but according to him has been allowed to do what he wants with the team. Now is it going to stay that with a new majority owner? We don't know, but if they have another bad season where they aren't rebuilding then those season tickets are going to be hurting pretty bad. That's when I think the Nashville owners get involved quickly.