Nibba it only took you ten or so posts but you’re finally getting to the point you’re trying to make. Have my two cents:
I do genuinely believe Rowling is nobody who „hates“ anyone that didn’t personally give her good reason to do so.
But I also know what you probably think feels „off“ about the story, the whole „just the right people in charge“ reeks of 14 year old mature for their age politics fixers „if we just put very smart scientists in control everything will be perfect

“.
This is not because of her hate for men (which I don’t believe she has), though granted, it might be slightly influenced by her probable and understandable dislike for traditional masculinity.
But this is the main problem with Harry Potter, and also the reason it used to be so fucking popular with leftists:
Harry Potter is an academic power fantasy. That’s it. It’s a daydream for people that had to find out that doing good in school won‘t guarantee that the tables of social hierarchy will turn around when you’re older and chad will be the not-cool one instead of you, but if only magic were real your big brain and empathy would finally give you the status you rightfully deserve for being so gifted and having so much innate value (especially compared to muggles=stupid people and bullies=evil people)…
That’s my take, with the added disclaimer that I still dearly love the original series.