Do we have any examples of societies or governments ran by humanities people? I at least don't know any country ran by tech execs. If we can find examples of both, then we can compare and see.
China is said to be top heavy in actual STEM graduates at the party committee five year plan level.
A number of countries are top heavy in politico's with a formal Law degree, eg. Australia.
I think Law could be a example in favor of humanities, as eg many of the founders of the American government were from a background in law.
The current PM has an English degree.
The last one to have a scientific background was Thatcher.
You said the current UK government is mostly Philosophy background people. So how would you rate its performance?
This applies to many of the UK governments since WWII.
I suspect most ministers have been humanities graduates. STEM is a very small minority.