While many Democrats didn't seem to believe that, even if the White House didn't give the orders, the Trump Administration would certainly seem to have the power to curtail the release of information by the Executive Branch.
"It's certainly understandable why many people are alarmed over communications bans," wrote the American Civil Liberties Union in a web post.
"However, one of the consequences of the election is that the new administration now controls what federal agencies say and what side of an issue they take in a debate about, for example, climate change or reproductive rights," the ACLU added.
The ACLU noted that individual government employees do have First Amendment rights to speak out on their own time - but not through government channels, if those in charge don't approve.
As for the rogue Twitter accounts, it wasn't immediately clear if those were all being manned by current federal workers from various agencies, like NASA, the Food and Drug Administration, the Forest Service and more.
The social media protests were getting a lot of attention from environmental groups who fear that a Trump White House will do all it can to suppress climate concerns.
"The revolution will be tweeted by our National Parks," said the Natural Resources Defense Council.
There were also more signs of Twitter defiance from within the federal government on Wednesday, a day after tweets on climate change by one national park Twitter account had been deleted, as another national park was tweeting about climate.
And there were other examples circulating as well of social media posts that had been taken down:
Democrats swiftly used the dispute to try to raise money to combat Trump.
"Why is Trump making it harder for the media to report on the actions of the federal government?" the Democrats asked in a fundraising email.
But as the ACLU observed, the Republicans are now in charge - and whether you like it or not, they get to call the shots.
In other words, when you win the White House, you get the keys to operate a vast array of federal agencies.
And when you lose the White House, you have to retreat to rogue Twitter accounts.
It is yet another reminder that elections do matter.