Restrictions on speech are usually less about arriving at a correct conclusion, and more on serving those in power. See Ag-gag laws, China and Russia, the since overturned criminalization of inciting people to resist the draft in the US (that gave us the "fire in a crowded theater" quote), the un-American Activities Committee, and all manner of state-sponsored propaganda.
To ask "will they get it right?" is misleading - they won't even try.
Leaving it to "experts", and shushing the rabble, makes you vulnerable to the experts. At which point, you want experts you agree with and don't want those you disagree with, based on your lack of expertise. This is just a triumph of authoritarianism and ideology. Which, if it turns out to be correct, is awesome. But what if it's wrong?
This is where Dunning-Krueger shows up uninvited...