I have no right to complete silence in my apartment block, but I do have a right to not have to listen to my neighbor's loud music at 3am in the morning.
I have no right to never breathe in second hand smoke, but I do have a right to not have to breath it in inside small enclosed rooms.
Our society and the law makes these kinds of trade-offs all the time.
Also, the issue isn't people having to read the speech, it is the speech negatively impacting people (sometimes severely if you are an Asian person that just got knifed on the street) in indirect ways. There is this false belief that speech can't be mortally harmful unless it's a direct call to violence, which I hope we can dispense with since the evidence doesn't line up with that narrative.
"Harm" is very fuzzy though. Twitter's extremophiles call reading something they don't like "genocide". So basically, anything is harm. Harm can be real, imagined, perceived, understated, overstated, direct, indirect, grasping at straws.
Further, any matter of importance or division has no clear-cut right or wrong. There's always a gray zone.
What I advocate for is basically what we have now. Non-governmental, voluntary and minimal censorship of things that are likely to cause outsized harm in the real world. Also called moderation. I want these platforms to voluntarily remove ISIS propaganda, outright hate speech, election misinformation, and a few other categories, and otherwise allow open discourse. These are all slippery slopes (especially election misinformation removal), but that shouldn't resign us to simply throw up our hands and allow Kremlin propaganda to destabilize democracies.
But here's the thing: you aren't qualified to act as the arbiter of what constitutes 'misinformation'. No one is.
You may rail against this because asserting an (unearned) claim over objective reality - what is true and what is false - is advantageous in spreading narratives favor to your personal interest. But let's be clear: that's all it is, and that's all it will ever be.