Literally the only person I've heard speak about it that is in a position to be "in the know" is Psaki, from the clips I posted before. It's entirely possible she misspoke, but she hasn't said that. It's possible she overstated what is going on, which is just a fancy way of still saying she misspoke I guess. Anyway, she's not exactly MTG, is the point.
I'll put it this way. Even if I think the WH has good intentions with getting involved to provide up to date and accurate messaging to keep Americans safe during a pandemic, we have laws and societal norms to ensure the government isn't repressing speech. When the mouthpiece for POTUS comes out and states directly to the American public that the government is actually trying to encourage influential individuals or private corporations (because they're people too, after all, right?) to repress speech, it's my opinion that part of being a responsible citizen is to call that out so it can be addressed instead of ignoring it under either the assumption or the hope that a message was just poorly worded.