On the double grip the tongue is fine. You have to make sure that you don’t print on the tongue though. Nothing bad happens if you do, it just bends it a little. You have to make sure that the actual body of the double grip doesn’t get crushed by the base.
I’ll put my plate on the base in the bottom left with the crop marks right up against the edge and print on the tympan. Since the crop marks are at the very edge of the base I’ll know where the limit is for my gauge pins to go. The double grip are great for making minute adjustments for register.
I have quads but havent used them with the base. Sorry.