I don't believe that Emirates or Etihad operate like this, with this level of management from the Sheikhs in power.
But let's be mischievous for one moment and suggest that they're "open to requests". One of the things that
@projectriver pointed out on his TalkSport segment the other day that I think has gone WAY under the radar from the discussion is that the Premier League commercial revenues are beginning to flatline. The league has to give away more games in bigger packages just to get the same TV deal. Title sponsorships such as front of shirt have been hugely affected recently - he pointed out Villa, Chelsea and a few others, because without betting companies then the competition for the price has dropped and ultimately some clubs are struggling to get the value they wish for those high revenue items to where Chelsea have played games without a sponsor.
Again, just being mischievous here but I'd argue that if we really WERE owned by "the UAE" which we're clearly not then them also holding the title sponsorship of one of our biggest competitive rivals is probably something that will exert more and more soft power in the future as those values start dropping.