My MC simply pushed back once or twice on her aggression towards him, and didn't seek all opportunities to interact with her -- did the early interview with another girl and during the gym session didn't interrupt Veronica's session with Mina. This was enough to miss out on points needed to comfort her in the shower and to be all-buddies later because surprise, surprise, Veronica is one of these blowhard wanna-be doms who is eager to step on everyone around her but absolutely cannot take what she is dishing out, and you'll either lose points with her (or not gain them) if you don't prostrate yourself before her.
So, no. Treating Veronica merely like a peer will get you nowhere because she doesn't view Edwin as a peer early on.
edit
i mean, case in point:
* when asked to pick a girl who looks the best in uniform actually dare to pick a girl you think looks best: lose out on 2-3 points, even if you weren't "a pig about it"
* don't pick Veronica for interview: miss out on 5 points
* bring Mina to the gym: you can get at most 2-4 points with Veronica (4 if you interrupt her and Mina getting along) unless MC is a social chameleon, vs 6 if you visit alone
* actually refrain from telling Veronica you've been ogling her and from some empty flattery: miss out on couple points during the photo session.
* don't take her up on her offer to have sex: miss out on 3-4 points
But yeah, sure, those are all because "you treated Veronica like a sex toy". Or maybe it's simply because you start at 5 points with Veronica (the lowest of all, others start at 8) and need to get 17 more points with her quickly to be able to do the one gesture which determines whether Edwin becomes friends with her or not, and those points with her aren't exactly frequent to come by.