No, it's not.
There have always been consequences to speech. Before social media, the traditional media would be the method of choice of stirring up people into a mob demanding resignations. It's not new.
What is new, is that it is no longer a power centralized to owners of traditional media. It is now distributed, and thanks to Twitter specifically, in a way that promotes "tyrranny by the mob" which the founding fathers themselves abhorred.
This isn't the death of free speech. Instead, view it as tech kicking itself in the balls because the people making software didn't understand how humans would leverage it at a society level scale.
It's why many of us are working of federated but social public forms of media, like the 90s and early 2000's, because that worked at scale without a "tyrranny of the mob".
All that being said, it is hard to be all "free speech is over" doom-sayer when the person in question has repeatedly (and we're talking decades) said creepy things that cumulatively sets up a pattern of behavior. This isn't Joe Shmoe hopping onto the internet the first time and losing his job. It's disingenuous to try to spin this event that way.