It's not White House's Correspondents' Dinner. It's White House Correspondents' Dinner.
The Correspondents organize it. It's hosted in a Hilton hotel, not at the White house. The White House doesn't control it in any way. This is simply the press rolling over to appease the fascists because they are scared of losing access.
So fucking pathetic. But hey, hard to expect corporate media to stand up for the people. You basically have the fascist media and the "both sides" media.