Well, you seem to be rhetorically asking a question, so... Your implied answer would seem to have to be yes to support your point, in which case, would you care to give similar examples? What free speech suppression are you thinking of and how was it enacted?
the right wing's case on this point is based on the fact that the government leaned upon facebook and google to remove or downrank any views during the pandemic that didn't align with government policy, including anything about covid having gotten loose from a lab that was doing gain of function research under the auspices of one A. Fauci. That actually is the sort of suppression of free speech that might lead a very low information voter to think that a fascist dictatorship was going to ensure freer speech going forward.
The ACSH is not a credible source of unbiased reporting, in any sense.
The Fifth Circuit Court is, but of course this is only one case.
It was not for credibility that I shared that link. It is because I cannot be bothered to type all that out. So you can assume that I typed that all here..