That's certainly a level of mental gymnastics to paint things favorably for your political beliefs.
Left and right are all on board with the same system. And this is increasing a fascist system, run by corporations.
But whatever the case - if people purport to have a constitution that allows for free speech - but that a lot of people do not have meaningful ability to exercise it, well its not surprising that places like Gab spring up. And that all those de-platformed views make their way there. People need to be able to have their say.
It used to be that it was a left position to say 'I don't like what you say, but I'll fight for your right to say it'. Those days are long gone - de-platform the hate speaker!
It only protects against retribution by the government. It doesn't extend to society accepting any and all speech was acceptable.