In my little bubble, us or Tottenham getting bought by Saudi Arabia wouldn't change the calculus one bit for the Arsenal fans I know. I know this guy who loathes United. That doesn't go away if United are bought by Saudi Arabia.
The indifference towards City on here is a carryover from the indifference (and mild laughter) towards City before the takeover. The sole memory I have of them is being an annoying team enroute to our title in 06-07, quickly forgotten. But for local fans I'm sure they were loathed then, the same way they're loathed now by them, rich benefactors be damned.
And it's all bullshit coping mechanisms any way. All successful clubs won the lottery in one way or another. The idea of "we earned our success" is just bootstraps theory that is nearly impossible today and allows fans of traditional big clubs to cope with success of the upstarts (that is, until said upstarts are on the verge of winning trebles, which is when all that cognitive dissonance and compartmentalization comes crashing down anyways
)