Earlier quoted context omitted.
What's wrong with that? You don't have to use their service. They are not in a situation that they have to provide service to everyone. I don't see a problem when a company says "if you're a racist you're not allowed to use our service".
Accusations like "racist" mainly flow towards pre-approved victim categories and are commonly used as a blunt weapon in oppression olympics. In those cases, there is no acceptable defense against it, because the reply will be along the lines of "omg, this racist is trying to excuse their racism". Guilty until proven super-guilty. That's why this gets people's bristles up, because it reeks of the "reverse racism isn't…
Similarly, here you are speaking about your disdain for calling someone racist, and no one's saying you're trying to excuse your own racism for it. Where is this sentiment coming from?
I literally don't see people's bristles up because of "dogma". It's mostly you using his very strong language and then throwing up very significant claims without evidence, such as that post modern academia has invaded tech with totalism circulated around the supposedly untrue ideation that reverse racism isn't a thing and that racism involves structural discrimination. A large chunk of this thread is talking about how Airbnb is toeing the line between ownership of property (i.e. deciding what can be done with it) and business decision (i.e. refusing to allow your services to be used by those who discriminate).