This is just... not accurate. The closest I can agree with your description is that (a) getting help on specific questions about the class, is not highly differentiated from (b') having conversations about the class (or about your studies) with the professor. But (b') talking about school and (b) schmoozing are two different things.
Speaking from personal experience (I'm an academic in my late 20s / early 30s, and I know a lot of fellow academics, and we talk about things like teaching and office hours), office hours are for helping students. They're not some kind of country club -- I spend my office hours working on math problems with students, giving study advice, and sometimes talking about my students' academic plans (e.g. recommending other classes for them to take, or telling them about resources they can access on campus).
The injustice in this situation isn't that "rich students are getting unfair help", it's that poor students aren't accessing this appropriate help. Going to office hours, asking professors for help, asking for the occasional (well-justified) extension -- these are not "entitled", they are all perfectly appropriate things to do.
(To add, I see a weird vibe of resentment running through this and a handful of other posts. For what it's worth, I will say that academics basically universally loathe students who suck up to them and complain about their grades. So we're agreed in that...)