What if the party that receives that ask knows that legally they can reject it with a "hah, no" note and the government can't do anything about it? Free speech is thoroughly protected in the US.
Are there any carveouts about how even government employees are private citizens when they don't work in government capacity. Can Amy from the DMV ask to have revenge porn taken down? Can Tim from the IRS tell his wife who works at Twitter that he thinks Elon is a liar and grifter?
What if that content puts a family at risk?
What if the WH thinks it does, but it isn't obvious to a third party?