I realise this is now not the main theory, but I didn't see it properly responded to. If you read the bill, it redefines the meaning of the word lynching.
"If 2 or more persons willfully cause bodily injury to any other person, because of the actual or perceived race, color, religion, or national origin of any person"
“(A) IN GENERAL.—If 2 or more persons, in any circumstance described in subparagraph (B), willfully cause bodily injury to any other person because of the actual or perceived religion, national origin, gender, sexual orientation, gender identity, or disability of any person—
So, in this lynching law any time 2 or more people cause bodily injury to somebody in a protected class, for reasons of their class, that would be a lynching. If the townsfolk believed a child murderer was held by the police, broke into the police station to get their hands him, and hanged him from a lamppost, that would not be the sort of lynching that would be counted. If a crowd of antifa attack a jewish man, or some marines, because they mistake them for nazis.... that would not be a lynching in the sense of this law. If a couple of drunks throw a bottle at a transsexual, that could well be a lynching.
If I had to bet, I'd say that at least part of the intention is to create a situation where an inflated number of lynchings are recorded, skewed heavily in favour of straight white men as the aggressors. It's the privileged plus power redefinition of lynching.