I disagree with a few of your points.
At low corruption, the moms won't agree to vote your way on the PTA. At least, they're constantly telling me that, nope, they won't do it because they fear what I might do. Driving the girl out of class also costs you the potential rep gain, which hinders your ability to get things passed. And it can get you in trouble with the parent at the meeting, which has another set of consequences if you fail to talk your way out of it there.
I do think that, once you get the ball rolling, yeah, things become pretty easy. Another all or nothing aspect. Obviously, if you can blackmail the moms successfully, you get your vote passed. And if you can build up a bit of rep, it becomes easier to corrupt girls and their mothers, and that, plus the impact of rep, makes it easier to pass votes.
I like that there are multiple ways to approach the problem, though.
As far as int goes, the issue ties into me wanting to keep the girls in class. That means I want to keep both Tolerance and Pressure in check. Using Give Hint, though, about triples a girl's progress. And a smarter girl will naturally have made more progress to begin with, and if you are then boosting that progress a bit further... So a new, pure girl who is also smart is a bit of a bane. And if you have rules that restrict clothing, girls can show up wearing things that are more likely to feel ill at ease, leading to increased pressure gains and tolerance losses...
The situation kind of has me wanting the option to give girls some clothing other than panties, just so I can slow their rate of stat loss.