I’m not sure if you’re talking about the left on a world wide scale, but in America I really don’t think it’s fair to say that the left is the side limiting free speech. Sure, they may paint the use of certain words as distasteful, but that’s basically the extent. Leftists don’t even tend to get the law involved outside of defining what may or may not be hate speech.
On the other side of the aisle, the right wing party is promoting book bans and firing teachers they disagree with. Several states have a version of the “don’t say gay” bill that literally prohibits teachers from explaining why one student has two dads, and a similar bill that prohibits institutions from simply acknowledging a kid’s preferred name. Texas and Florida are defunding colleges with curriculums they as a party don’t like. Louisiana (along with a few other states) passed a bill requiring you to prove who you are with state ID before you can view something they deem inappropriate.
All of those things are actual examples of infringing the concept of free speech. Does the left do anything remotely like those things?
You’re not wrong, but consider that people who justified sticking around for some reason or another might leave because the brand change (to a name that is so brain dead even a little offensive) finally hits home for them that it isn’t going to be the same.
A brand name change is about the single most overt thing you can do to send the message that a product isn’t going to be the same. And when that happens, people tend to look at the recent trends for that product to get an idea of what to expect. The recent trends for Twitter happen to be right-wing echo chamber.
So yeah, the people who were going to leave have largely already left. But this brand change is going to be effective at galvanizing those who remain.