It is really difficult to define what hate speech is, it certainly can be used as a cudgel to silence the opposition though I'm not sure about "more often than not" and bluntly everything can be used that way: my previous commute took me across the lines of what was officially known as (translated) an "anti-fascist protection rampart"* to keep people from leaving a country that put "Demokratische" in its name.

For the UK, it's not even clear what Starmer doesn't want to hear, he's got the charisma of the 10th-worst-in-class GCSE-level presentation on a topic not of his own choice. This can be observed in the poll ratings which are both amusing and the kind of thing that should only be found in a farce and not reality.

I'd instead point to Musk, who has openly said that "cis" is "hate speech" on Twitter now he owns the site. Starmer may or may not have such examples, but it's just too hard to figure out what they even are 'cause he lacks presence even as PM with all the cameras pointed at him.

* And to English speakers, "the Berlin Wall"