Look at the bigger picture.
Trump can say whatever he wants right now to put pressure on the current admin (false or not).
The objective in the speech is simple and clear. Democrats: you MUST take the vaccine Trump: you SHOULD take the vaccine
One offers a choice. And that's all we ever wanted.
This is actually a very important question.
This is akin to the exact same situation as the BLM riots. People are behaving and acting as operatives of the state. Attempting to fish out those that consume the narratives like them and to oust those that reject it.
They are attempting to influence the public indirectly by subtly pushing those to ask the questions and squeeze the support from those the government cannot compel. By using their agents in this way, they are completely unaware of what they're doing and can push boundaries that are very very clear.
Your boss can't ask you if you're planning on doing ANYTHING related to your health....but the secretary "preet" can. Preet and her husband constantly talk about how great the vaccine is and anything else preprogrammed they're allowed to say. And it automatically claims that space. Dissent is not tolerated and those that are trying to just get by are gagged once more just like "preet" has done last summer when they could demand you kneel for another marxist cause.
And then you realize....It was never about logic or being right....
It was always about your sanity. And you're one more step closer to the snap.