Excellent Point!
And the idea that the press would be right there, following the President of the United States and "reporting" on the whims and words of the great leader, with their own pecking order and offices in the White House, is an invention of Franklin Roosevelt which was used as propaganda for the war on conservatism.
Before that, many presidents didn't put up with such nonsense. Coolidge had no White House press corps, and neither did any president have any such thing until Theodore Roosevelt. Lincoln kept a bench outside the Lincoln bedroom (which at the time was his office, the Oval Office and West Wing wasn't added until 1901) for citizens to sit out side waiting to see him. Just regular people sometimes! John Hays, his secretary, would fetch the folks lemonade in the summertime.
No, the modern White House press corps is a 20th Century invention, and here we are in the 21st Century. Time to go the way of the buggy whip and powdered wig!
I just wanted to update my remarks on the White House press corps.
A reporter having workspace inside the White House actually started in the Grover Cleveland admin, but it wasn’t until Teddy Roosevelt admin allowed most of the big newspaper reporters to be INSIDE the White House.
See the story here: http://www.whca.net/history.htm
When they act all outraged over Trump ignoring them, and talk about how unprecedented it is, just remember they weren’t always there.