Bound armor should proc the hp bonus for daedric summoning
i have a sorc and while i do find using up slots on both bars kinda annoying, it would be far too powerful to remove this. and lets be honest, if you wanna swap bars and swap back, you can simply recast it.
or, the limitation gets removed, and would have to be removed from pets as well, and then they downgrade the crap outta them both since you no longer need them slotted. which is what you're asking for.