I once read that the oil countries wealth is only fractionally based on actual oil now. Dubai, Abu Dhabi, Qatar, They have made such massive leaps in the financial/commercial sectors that they are no longer reliant on pure oil and it's a fraction of their GDP. Plenty of commerce, tech companies, banks, all moving to the Arab countries.
Dubai's oil driven profit is only 1% of their GDP, tourism is 20%.
So It looks like the sheiks are going nowhere anytime soon.