Hmmm that's dumb, so even after filing out the paperwork for the item, having it approved by the ATF, they could come back and say its not on the trust? As long as you have a copy of the trust and whats on it there shouldn't be any problems right??
In theory your trust can be taken to court as a false entity. Just make sure your members on it know they are on it and may have some control or possessions at times. It is not abnormal or illegal for an individual to purchase items as an agent for a trust.
I mean you still fill out an individual 4473 when you pick the can up.