Maybe not full NFA restriction, but some sort of endorsement, training, ect... think more like a motorcycle qualification on your drivers license.
Sure... just as soon as people use firearms in public like they use motorcycles in public, a NFA endorsement on a firearms usage license would make sense.
“The egg hatched...” “...the egg hatched... and a hundred baby spiders came out...” (blade runner)
“Who are you?” “A friend. I'm here to prevent you from making a mistake.” “You have no idea what I'm doing here, friend.” “In specific terms, no, but I swore an oath to protect the world...” (continuum)
“It's a goal you won't understand until later. Your job is to make sure he doesn't achieve the goal.” (bsg)