As an outsider, as a person who comes from a completely different part of the country, I would say City aren't as hated as United and Liverpool or even Leeds. If you asked people in my corner of London who their top 5 most hated clubs were, we would have each other (as in other London clubs) near the top followed by United and Liverpool and then Leeds or Brighton depending on the club they support (Chelsea fans would say Leeds, Palace fans would say Brighton for example). I haven't come across many who outright hate City.
That said, if you asked people specifically about City, you likely wouldn't get a positive answer.
Your last paragraph is probably what the op meant by hated. It proves what an excellent job the media has done in insidiously brainwashing fans of other clubs. Every game constantly mentioning how much our team and bench cost compared to the other team, yet never mentioning this when the other big spending clubs play. Refering to us as state owned, which we're not and oil money ( As if that's somehow worse than other ways of earning money) and that we have a bigger squad than anyone else. Of course they never mention everybody is allowed the same sized squad and due to ffp can only spend the money they generate. Even when CAS cleared us they said we'd escaped on a technicality, which wasn't true and mention the 10 million pound fine for non cooperation. Too right we didn't bloody cooperate, the same with the premier league, when everything we said and sent was being leaked to our rivals and the press.
Then we have the downplaying of our achievements. Never headlines, if we are then we are quickly bumped down the pages. Crying it was unfair competition when we thrashed Watford 6-0 in the fa cup final when if a red shirted team has done it then it would have been "Ruthless United/Liverpool put on a superb display to show how good they are and crush poor Watford in the process." On and on it goes, never ending. After ten years of this no wonder other fans aren't positive about our club.