Except for the last, those are just lies that people in power find inconvenient. People were saying way more ridiculous things in the summer of 1787, and yet the country I live in enshrined free speech rights.
A few of them are plain-old voter suppression, and ~50% of the time, people in power find them incredibly convenient.
You don't see them very often, because in most free countries, trying any of them is an incredibly serious offence.
The overarching point still stands. That people being in favor of censoring "disinformation" (ie speech by private individuals) in certain instances but not others is an inconsistent stance that carries a distinct appearance of partisanship.