A kung fu fighter in a disco

OK you win! Or at least I probably didn't have much of an argument beyond "when I was growing up, people like Tori and Alanis and Courtney were aligned with each other, and even though this was blatantly untrue sonically I'd always assumed they must have shared a pool of influences, which I'd thrown the Breeders into on the basis that they did the whole fierce-emotional-grrrl-with-guitar thing a few years before the people I cited" - of the female singers you cited as Courtney predecessors I'm only really familiar with Patti Smith.