And here we are.
The problem is if free speech is effectively banned from the internet due to the internet being controlled by a handful of private companies, do we still have free speech?
Yes, these are all private companies. In fact someone already tried to create an alternative Patreon (called Hatreon, iirc) that was shut down by Visa. Allowing censorship by private companies doesn't work if private companies control who gets to exist on the internet.
If people are being arrested for what they are saying then that's censorship and something to be worried about.
What happens if I try to exercise my speech by selling little racist caricature dolls? Walmart, Target, KMart and 7-11 would refuse to stock them. Is my free speech being limited if I'm functionally blocked from the meaningfully accessible parts of our capitalist system?
No, and it would be ludicrous to suggest that grocery stores owe me shelf space.
(Facebook, Reddit and Twitch are a different animal altogether; Comcast, Time Warner, etc. are yet another leve lremoved.)
If you insert "some" before "unpopular", I'm with you. If you require "all" before "unpopular", then no, I disagree - e.g. people who believe "LGBTQ people should be done away" with, well, that's an "unpopular opinion" that should not be tolerated and, in fact, should be made anathema for anyone to express.
Free speech is a much bigger, and older, idea. And can be seriously threatened by many small changes in our public culture, which need not have anything to do with Washington.
By your standards it's all OK, because it's not the government?