From 18 USC 922
It is unlawful...
"for any person, other than a licensed importer, licensed
manufacturer, licensed dealer, or licensed collector to transport
into or receive in the State where he resides (or if the person
is a corporation or other business entity, the State where it
maintains a place of business) any firearm purchased or otherwise
obtained by such person outside that State"
Bold added for emphasis.
Assuming for a moment, that for those purposes the Fed wouldn't just treat DC as a state. The law as written(the language is similar in the other portions) it would not matter, you would still be bringing something in from another place other than your home state.