Apart from the political feasibility there's also the question of return on the investment. If this caused a 5% increase in the number of vaccinations, would it be worthwhile?
Even then there'd be people who think these are just two sides, and both of them make good and equally valid points.
In not suggesting we can ever change 100% of opinions 100% of the time, but open clear communication is the only proper tool for contering misinformation. Alas we seem to be restoring to the old teachers approach of sit down and shut up or you get the cane for speaking out. Which is damaging for public trust in the long run.
That policy and openly communicating it to the public would get my ass shoveled out of any government position within a fortnight of course.
As I read you, and I could be wrong, it appears that your real complaint is that you can only get your strategy through by lying, but lying is bad so we should make lying not bad so you can ram your strategy through. If my reading is right, then it appears to be the same attitude that the plandemic people claim politicians have.
A much more honest solution is to end all restrictions once everybody has been offered a vaccine. You take it, or you don't.
We can discuss research funding once this is over.
Stuff like plandemic is a byproduct of how our society is organised, and how our minds work and so is the attitude that politicians take. They act close to optimal within the framework that they work in.
Complaining that elected officials lie or not tell us the truth comes from a need for stability and predictability that we're looking for in authority figures, which is an illusion, and every leader knows that perfectly.
Your proposed solution is an expression of that need. You want to make some sort of deal with someone, that's going to make the situation more bearable to you. This is analogous to a child that gets promised an hour of watching cartoons if they finish their homework.
Because in this situation nobody really knows how long it will last, or what we need to do to solve it, we're unsatisfied, scared and vulnerable. And easy pray for people that want to capture our minds, and use it for their goals, be it political, financial, or just grabbing the attention that they need.
I'm encouraging discussion and debate and that people be informed to the point their decision can be trusted.
Being a bit obsoletist about discussion and presenting evidence is bad is extremely concerning.