You are right as to the terminology as the Germans invented both the assault rifle (StG-43)and the machine pistol (MP-40) and based the distinction upon the cartridge size.
To the bloomingidiot, "bump fire" would look like and likely be called full auto as well, even though ATF doesn't go that far. I suppose I should not have brought that up as he'll want to ban that as well.
Regards,
GtG