Only, as I pointed out by quoting DC ST § 50-1401.02(4) above, if you are appointed by the President and subject to CONFIRMATION BY THE SENATE. This does not cover the Chief of Staff of the White House. The Chief of Staff of the White House does not get reciprocity on licensing.
I, myself, have never had a problem commuting to DC every day in my car, and driving home at night and all without a DC plate.
Right, but you don't bring your groceries to a refrigerator in DC, you don't relax in front of the TV after a long day of work in DC, you don't sleep in DC, and you don't send your kids to school in DC. Unlike Rahm during 2009.
If you did do these things for 30 days or more, however, you would be required by DC law to get a DC license and DC plates, just like Rahm was.
Individuals who travel back and forth from DC to Virginia or MD or other points to work for private interests are TAXED just as if they were residents. Those who are government employees aren't.
That's because DC is "special" ~ not because government employees are.
I can tell you aren't used to thinking about DC!