just look at the name of the country:

saudi arabia.

saudi is not a geographic region, it's the name of the ruling family. and, arabia is a peninsula, not a country. the saudi family controls a considerable portion of that peninsula, but not all of it.

so, the actual name of the country literally translates as "the part of arabia under the control of the saud family". it's not south arabia, or central arabia, or the monarchy of arabia or anything. it's an area of land that is owned by the family, who named the fake country after it.

so, that's not a country, that's just a powerful family that owns land - and these people aren't heads of a state, they're mob bosses.