Earlier quoted context omitted.
The more fundamental question is why a degree should be necessary to run for President. US does not require one for example.
The US does have some very weird rules for its Presidents though, both written rules - the "natural born citizen" clause for example, or the minimum age (thirty five years old) and the unwritten rules - no women have ever been elected to this role although the rules don't forbid it, most Americans have also indicated they wouldn't elect anybody who admitted to atheism...
The same is true of the role of Leader of the UK Labour Party–but I wonder how many people would suggest that the UK Labour Party has an "unwritten rule" that its leader must be male?