Now the claim regarding censorship is that speech itself shuts down free speech.
I didn't have to get too far into this to begin to see where it was going. Claims the Constitution is outdated, not suited for this era, etc.
The premise is that being shouted down or using troll-bots to humiliate or drown out 'undesirable' voices - using free speech to stop free speech - is, itself, based on an additional premise that is unstated. That premise is people are incapable of thinking for themselves and that it is impossible to discern the truth in the midst of mis- and dis-information.
It also presumes these things didn't exist prior to the internet era.
These tactics are not new. They are old. Kennedy put them to great use against Nixon, although his methods were not high-tech. These methods were used against van Buren, and even Grover Cleveland.
People tend to think technology changes the reasons for certain laws. In rare cases, it may. In the case of the Constitution, I have yet to see a decent example of a need for changes based on changing technology...but the Left will keep trying to make that case.