I said most admirable, not most powerful. But let's take your example as is, because it demonstrates another point. When Hermione fought bullies, that actually brought about a lasting change in Hogwarts. Compare the good of that accomplishment to the good of setting free one prisoner from Azkaban, the one most likely, capable, and intent on wreaking destruction in the world. Who has done more good? I don't think that's a slam dunk win for Harry, and could be a devastating loss. In a similar way, recall that Hermione won the first battle of the generals because neither Harry nor Draco knew how to effectively organize a group of people to a shared goal. Also, if Harry is supposed to learn goodness from Hermione, isn't that a rather huge power, determining whether the world gets one more Voldemort, or one more Dumbledore? Influence of others is power to do good as well. Similarly, it's McGonagall who actually runs Hogwarts and sets an example for students, not Dumbledore. Hermione had a lasting power for good. Harry is "exceptionally good at killing things". If you want something killed, you want Harry on your side. Or Quirrell. Or Voldemort. Or Dumbledore. If you wanted a leader to delegate authority to run an organization to build something good instead of destroy something evil, you want Hermione without question. Same for McGonagall. The main change between HPMOR and canon is the hugely increased power, intelligence, capability, and potential for evil of the protagonist, who yes, we assume has a penis. If your mind pattern matches this as an affront to women everywhere, you have a problem.

demonstrating that, unlike Hermione, he can't distinguish dangerous quests with high potential pay-offs from dangerous quests that will make the world worse even if he succeeds.