The Government cannot demand that political speech be censored without running afoul of the First Amendment.
If you recall, the courts didn't allow Trump to block critical accounts on Twitter.
For example:
> We released a list of 354 names Maine Senate Angus King wanted taken down for reasons like “Rand Paul visit excitement,” “followed by [former Republican opponent Eric] Brakey,” and my personal favorite, “mentions immigration.” For balance we also released a letter from a Republican official at the State Department, Mark Lenzi, who tells Twitter about 14 real Americans “you may want to look into and delete.”
https://www.racket.news/p/capsule-summaries-of-all-twitter
This behavior clearly violates the First Amendment.
(Side note: The Angus King stuff is a misrepresentation. The screenshots are from a spreadsheet - https://docs.google.com/spreadsheets/d/e/2PACX-1vS1PbfNEqDCK... - in which a column indicates how the account first came to the King campaign's attention, not the reason they think they warranted action.)
If Trump had done like other presidents and tried to keep official Presidential business off his personal Twitter account he would have been to block anyone he wanted to.
A judge has ordered that the government not do the in-dispute things while the dispute is being ajudicated in court.