One of those involves fulltime professionals backed by state violence and the other is when people on social media are mad at you.

> when people on social media are mad at you

It's about more than that - many people have lost their jobs, been de-banked, or even been arrested (especially in countries like the UK and Germany) for expressing their opinion publicly when that opinion was merely (a) what most people in their country believed in the recent past (< 50 years ago), and (b) a politically incorrect opinion.

Isn't the only difference whether the censors are in or out of government power?

Few now respect the wisdom of 'should not' even when 'can'

That difference is so big it makes it an entirely different thing.