I talked about this question here, including how I've deliberately stayed away from this trope (both because it can reduce female characters to being female first and human second, and because it's very predictable at this point).
But I do have to mention that I think the writer is only looking at the surface of the Kill Bill movies. Yes, they are revenge movies, as most of Tarantino's movies have been recently. But Kill Bill Vol. 1, Kill Bill Vol 2, Inglourious Basterds, and Django Unchained (all revenge stories) are four very different movies, and fundamentally they are about four different things. I covered some of this in my review of the Kill Bill movies.
Genre structure can be something to hang a story on, but that doesn't mean that's all there is. A classic example is Gosford Park, which uses the form of an English country house murder mystery in order to tell a story about class (among other things). I could name a lot of different mystery stories (including my own) which are really about a lot of different things (I just happen to be a lot more familiar with mystery stories than revenge stories, but I'm sure the same principle applies there as well).