I’ve yet to see a single right-leaning voice that was silenced for being right-leaning. Without exception, every one I’ve seen silenced was for calling for violence, using ethnic slurs, or otherwise violating the site’s ToS. It seems possible to me, even likely, that if more right-leaning accounts are being banned then it’s because more of them are breaking the rules.
Also, I find the idea of classifying FB as left-leaning to be laughable.
Because I respect the rights of private property, I have to allow social media sites to post rules at the entrance explaining what you’re allowed to do. As long as they enforce those rules evenly, then you know what you’re signing up for when you register an account.
I’ve not heard any legitimate, evidence-backed claim that any of the major sites are enforcing their rules unfairly. Instead, the claims are usually along the lines of:
“I got banned for saying we should do violent stuff! And yet they allow this other ideologically opposite person to have an account!”
“Can you point to a specific post where the other person is saying we should be violent?”
Would you respect the right of a restaurant to kick out a black family? After all, it's private property.
Suppose it's a white family but they're wearing MAGA hats and the restaurant denies them service. That's nearly acceptable among a broad swath of the population today.
Now suppose it's your mom wearing a MAGA hat (you may not like that she wears one but it's her right, no?) and she gets denied service in a Starbucks. Maybe someone gets violent with her and knocks the hat off her head. Maybe the server spits in her coffee. All of which has happened. Are you still comfortable with "private property"?
Suppose you wander into a restaurant wearing a "Biden-Harris" T-shirt and they say "Get out!" Are you okay with that?
I could keep going, but you get the picture. We can't have a "freedom for me, not for thee" attitude. It has to be universal.
In every one of those cases, I support the nonviolent person. But still, we were talking about social media, not the physical world. None of that addresses whether the right is more or less likely to break the ToSes of social media sites.
Also, I find the idea of classifying FB as left-leaning to be laughable.