Hold on,
I do (mostly) agree with your definitions of Netorare, Netori, and Netorase (always more details and fans arguing over them), I feel like you're only using the abbreviation NTR for Netorare.
Netorare, Netori, and Netorase all fall under the larger category of NTR because the abbreviation can be used for all of them. There are even more sub genres which don't follow the naming trend of NTR, but are meant to evoke similar emotions (GTR and BSS)
regardless of whether or not people accept BSS under the NTR umbrella, the fact remains that in the end; It's all about sex with "other people" that makes someone feel bad, whether it be an innocent boy losing his track star girlfriend to the rapist coach, or the guy who has a bully using meat rod magic hypnotism to make everyone he loves start to hate him and think he's pathetic.
NTR is just way easier to say, and everything else is semantics.