I think that the first thing to do would be to ask them for a written description of their defense to 1NT. Within this, after 1NT X Pass, what bids can partner make, and what do each of these show? Given that this is an unusual convention, I think that it is reasonable to insist that this is made available if they are going to play it at your club. Once you have this, it becomes much clearer whether they follow it, or not. I don't know what the bidding regulations are in the USA, but I would like to tell them that they can't play this defense at the club until they provide a written description.