"While MBS' supporters insist that Saturday's move had absolutely nothing to do with staving off a coup and maintain that it was entirely about eradicating corruption, detaining Mutaib does also seemingly serve a broader power consolidation agenda," wrote Croft. "The fact that private airstrips were closed on Saturday also does suggest that more high-level arrests may be looming."
History shows, that when there is turmoil within Saudi Arabia, oil prices head higher. If the young prince is ultimately trying to fight extremism, there could be protests led by clerics among the population.
Using Kensho, CNBC looked at what happened to oil prices one month after major protests within Saudi Arabia.
A month later, the international crude benchmark was 2.7 percent higher, on average, according to Kensho. Crude prices in the U.S. followed the lead, gaining more than 2 percent, on average, as well.
The medium-term outlook is also bullish for oil because the crown prince will likely uphold and extend the OPEC production cuts, according to RBC.
"In terms of oil, there was no talk of returning to market share in Riyadh last week and $60/bbl Brent provides a more optimal enabling environment for many of MBS' key initiatives to remake the economy," said Croft's note. "Hence, we continue to see Saudi Arabia actively supporting market management, extending the OPEC cut deep into 2018, and moving ahead with the planned sale of a stake in Aramco."
Saudi rulers likely also would like to keep oil prices stable ahead of the planned IPO of state oil company Saudi Aramco expected next year.
Longer term, however, the crown prince's rule could be bearish for oil. He is trying to diversify the kingdom away from its reliance on crude revenues. The Aramco IPO is part of that process. A new $500 billion mega-city powered by renewable energy is part of that diversification plan as well — it's also a sign of just how bold the man is currently winning this "Game of Thrones."
Disclosure: NBCUniversal, parent of CNBC, is a minority investor in Kensho.