Sure, the genres all had a great influence on each other. They are still commonly considered different genres, whether you think they are or not.

I agree that they are all incredibly talented, influential, and legendary performers who are deserving of accolades - that does not make them rock artists. Now, Bikini Kill and Blink I can get behind, because punk is accepted to be a sub genre of rock and roll. I also agree with Garbage’s nomination, though I am not a huge fan. I just disagree with you that being an influential and legendary artist in any genre makes you worthy of the Rock and Roll Hall of Fame when there are respective Halls of Fame for those genres, just because each genre has influenced one another?

I’m not trying to sound like a gatekeeping asshole, I think all of these artists are very talented and influential, but I think it’s crazy to say that these genres are not different.