This is the thing that I think Catcher is right about, when referring to the racism in a certain posters comments and, as you say, the media view and name calling.
I have never heard any club (other than West Ham because it is sometimes for comedic affect) being referred to as 'insert owners business type here'. I mean it would be pretty petty to start calling some 'the venture capitalist clubs', 'the building industry clubs', etc. You only hear that if it is oil and only really when it is oil from a certain area of the world.
That's exactly it mate. Look I think
@PaddyJames has got a fair point in that this is not like explicit, hardened racism of hurling abuse at people in the streets or whatever, where you can feel the anger and hate. I would agree with him on that. It's not explicit and outward. However it is a form of institutional racism, that while not as explicit or perhaps as easy to codify if just as damaging.
It reminds me of the discussions around Police institutional racism. It doesn't mean every police officer is racist, or knowingly hates black people, but more there are biases, often subconscious built into how we think about things. In their case, they stop and search black people for drug possession at a way higher rate than white people, despite black people being less likely to use drugs.
Getting back to City and their owners, you are right that it only really seems certain types of owners who's wealth is viewed as inferior, less or in some stages criminogenic in some way. "The oil clubs" "dirty oil" "petro dollar clubs" etc are all throwaway remarks that hint at this. If you understand the history of oil in the region, that the British controlled (and exploited/stole) this resource for decades and have never really forgiven those countries for taking back their natural resource, you can begin to see this playing out. We live in quite an explicitly Islamaphobic society and it just feeds into it.
There is an assumption that nationalising your national resource is inferior, and that their natural resource is lesser than the UK's or America's. But this is never applied to Norway, a white western country who rely on oil. Nor are the practices of Nike examined in any way, and the use of sweatshop labour to produce the shirts that pay for vast sponsorship deals. There is just no scrutiny by comparison.
So when you see certain people, continuing to parrot the above, alongside wild conspiracies that have been debunked in court, it feels like someone is prejudicial, they have made them mind up before looking at the evidence. The other day the poster was trying to make out Pep Guardiola was an employee of Qatar not Manchester City. Just lazy stereotyping like that, which is complete idiocy at best.