This I believe is the definition being used in the link, not just "basically any speech that you don't like."
"Hate speech" is the new "think of the children". An easy (and socially acceptable, apparently) way to silence and smear critics.
The Babylon Bee is the perfect example of this. They were banned from Twitter for making an obvious joke about a trans person, because any joke at the expense of trans people was considered hate speech. Why? Well because they consider anything negative said about them to be encouraging violence. There was no objective measure, it was all about feelings.
In my, and some other peoples', opinion, Free speech is broken in a world where I can silence you by claiming you made me feel attacked.
There are a million other examples of this kind of thing happening under the old Twitter leadership.
https://www.law.cornell.edu/wex/brandenburg_test
It's not a huge leap to apply this standard to protected classes.