Why would fighter pilot be as nepo-baby compatible as, dunno, actor/actress? Asking truthfully, I'm not american, not in the military, etc.

Too many nepo babies and too little state owned movie production in the Gulf?

Also flying modern fighter jets is the kind of fun that's typically very hard to buy with money, so you take the opportunity when available.

The Sultan bin Salman was the first Arab, first Muslim, and first Royal in space, on the NASA Challenger flight before its fateful flight. He was a fighter pilot for the Saudi Air Force with 1000's of flight hours.

A fighter pilot is the modern military equivalent of a medieval knight.

They wouldn't trust a non-family member with weapons that could decapitate the country's kleptocratic monarchy.

In those countries (i.e., middle eastern countries) power and wealth is usually more connected to gov't and the military rather than independent industries. If you are a nepo-baby, your opportunities will tend to be more gov't/military than celebrity or corporate.