Lily is not based on any feminists I have known. Indeed, as she has plainly stated, she's not a feminist, she's a misandrist.
If anything, Lily shares more ideology in common with the typical pickup artist. While there is a certain truth and utility to evolutionary psychology, treating it as deterministic, as a means of categorizing real, living human beings and predicting their behaviour will, necessarily, distance you from them and, in time, render them cartoonish and monstrous.
That's why Lily can't be a feminist. If you believe that a certain percentage of men are necessarily, genetically, inherently inclined to be rapists, then you'd have to accept the obvious corollary - that a certain percentage of women are necessarily, genetically, inherently inclined to be rape victims.
(Saturday afternoon, INT: hallway outside EB and JH's apartment)
JH: Okay, I'll drop it and I'll leave you alone if you answer me this - you just said I'm not capable of raping you. Why, exactly?
LH: Because you're clearly a beta.
JH: I'm a fish?
LH: Greek letter.
JH: I'm pretty sure I'm not that either.
LH: You're a beta male. Everything about you reeks of it. The ectomorphic build, the posture, the way you speak, the service-oriented career path... you're submissive, right down to your weasely spineless "nice guy" core.
JH: Okay, I think you and I are operating under different definitions of the term "submissive", because I hung out with a sub the other day, and I can say with confidence that he and I have absolutely nothing in common.
LH: I take it you're talking about the little gremlin that Maxine debases herself for on Tuesdays?
JH: I would have thought you'd approve of their Tuesday activities.
LH: You really are trying to make me vomit, aren't you?