Assault is already a generic crime. But random assaults whilst serious are just a form of crime that hurts the country a bit but not a lot (individuals might get badly hurt, but a low level of assaults is just a nuisance from a societal level).

But hate crime is different, hate crimes beget hate crimes, and even a low level can grow rapidly, and once you have a racial/religious/whatever conflict you’re stuck with that for a few generations, so hate crimes are incredibly dangerous for society, so get stomped on very hard.

That’s the theory anyway.