To be fair, Mohamed bin Salman is the crown prince and de facto ruler of Saudi Arabia, not Qatar. The two countries aren't on the best terms (as a matter of fact Qatar were blockaded by a Saudi-led coalition for years trying to strongarm them), so you can't just apply what one did to the other. They're absolutely similar (autocratic, Arab, traditional, family-based, Muslim, opressive towards anyone who is not a straight male but genuinely hospitable), but not the same.