I personally have no issue with any of these platforms moderating to their heart's content for the following reasons:
We are entitled to free speech but we are not entitled to use Twitter's megaphone.
I am against megaphones. I don't like companies like Twitter. With any hope, the more they moderate the more people will move away from centralized platforms. Don't regulate them and they will moderate themselves out of existence (I wish).
When did Twitter ever claim to be a "Town Square?" Furthermore, when would it benefit them to claim that?
-Jack Dorsey
https://www.wired.com/story/jack-dorsey-twitters-role-free-s...
I am not endorsing his statement but Twitter's CEO apparently considers it as a town square.
The US is very liberal. Most European countries are leaning towards regulation.
See the book "How Democracies Die" for a summary of the three most prominent legal approaches.
See e.g. the book "Hate Spin" on religious hate speech which explicitly deals with this two-sided phenomenon.
Florida governor signs bill barring social media companies from blocking political candidates - May 24, 2021
https://www.washingtonpost.com/technology/2021/05/24/florida...
[Florida governor] applauds fired whistleblower’s Twitter suspension, the latest in an ongoing feud - June 7, 2021
https://www.washingtonpost.com/politics/2021/06/07/rebekah-j...