This passage from the above-linked lw post from the "stone age billionaire" guy about how counter-protestors tried to prevent them from speaking is really telling:

Then my friend Ben realized that this is a giant game of “I’m not touching you” for adults. Which is the stupidest dang thing IMO, but is pretty symetrical. A few of us just stood close together in a line, and we moved the speeches to the other side of that line. The counter-protestors would have to walk through us to block that speech, and we just didn’t move. When they tried to go around us we shifted to be in front of them. And they couldn’t actually touch us because that was against the rules, so this worked?

I thought we all understood at this point that baiting your enemies into violence was one of the operating principles behind a lot of protests like this. Maybe not as a primary goal (unless you're the Westboro Bastard Church trying to get ammunition for lawsuits against the host city for failing to adequately protect you from the consequences of your own actions) but historically speaking violent repression isn't exactly a failure state for these events. One of the biggest victories for civil disobedience was putting the violent absurdity of segregation on full display by getting massive crackdowns on them for sitting in a restaurant, for example. Making the implicit violence of injustice explicit changes the emotional valence and makes it harder for John Q Public to justify actively supporting it. If you don't have enough mass support to implicitly threaten to do something (i.e. look at all these people who will cause problems if not recognized) then arguably being repressed is an even more significant goal because showing that "about two-dozen kooks believe something" isn't exactly going to mobilize social change on its own and it's not like billionaires care about solidarity with the hoi polloi.

But considering the absolute bafflement on display about counterprotests being willing to rudely inconvenience them it really feels like they understood that sometimes people who believe things will do this thing called a "protest" where they get together and chant slogans and wave signs and have a grand old time, but had no coherent idea of why and never really thought to ask.