Twitter shouldn't decide for me what I may or may not read.
Of course, but Twitter doesn't do that and never has. You are still very able to read what the New York Post writes by typing https://nypost.com/ into your browser, and Twitter's not going to stop you from doing that.
If the moderators of this site decide my comment is out of line with the standards this site tries to uphold, does this make me unable to communicate entirely? No, I'm still able to write whatever nonesense on plenty of other websites. Or I can host my own website where I can freely post whatever nonsense I choose to post. All the way up to the point where no ISP will offer me an internet connection or all the regional number organizations refuse to give me even a single IP address.