Toji would be a normal person in the Hat's presence. He wouldn't even be able to change his weapon's form. The "natural" things I'm talking about are more like: being 30 feet tall, weighing 400 pounds, having razor-sharp claws, and things like that. Those are the things that Ben's aliens can't have taken away from them. However, they would loose a lot of their inhuman strength/durability/energy, and would not be able to shoot fire or phase through walls. Toji's powers are all meta-human physical, so they would all be taken away.
Where are you guys headed? I don't know. Somewhere where the Hat isn't?