Would they let President Trump's office use the term "anonymous source" if some important announcement was being made by his staff?

Ha.  I doubt it, and why would he do such a thing? 

People need to own up to their identity or shut their faces and stay under their desks, away from the actual news stories which are REALLY happening.  Have they nothing better to do than spend their time making up lies - - which can be easily refuted??  Hmmm, guess not.

https://pjmedia.com/news-and-politics/matt-margolis/2020/09/04/heres-how-we-know-the-atlantics-hit-piece-on-trump-is-pure-fiction-n890999

Hey, it's called a hit piece for a reason.  Except I think it hit the wrong target . . .