Interesting perspective.
I've always viewed hate crimes as a crime committed against and individual based upon them being part of a sub-group like race, gender, sexual orientation, religion, etc. Basically they're targeted for being a member, not for something specific to them, aside from their inclusion in a group.
However, by that definition, attacking somebody who mistakenly wore the wrong color should also be treated as a hate crime. The devil is in the details, especially when establishing motive (beyond a reasonable doubt).
Yeah, I get that perspective (and used to share it). I at one point realized that "Hate" implies motive which made me think of it differently. Also, by defining a hate crime as any crime targeted against a certain group then makes any crime a hate crime if said crime were premeditated which is where I think we are now tbh