STEM people will naturally succeed at this task immediately, while an average person, like a koala unable to understand a leaf is food unless it's put on a tree, can only answer the logic problem if it's phrased in terms of social rules.
The STEM people's brains tended to develop in a way that intuitively understands logic in a more abstract way, better able to understand reality, not just monkey hierarchies.
So they will be averse to politics because it's boring, frustrating, disingenuous monkey shit flinging. But they're the most qualified, because they're more likely to put truth and fairness above tribal enrichment and games.
If engineers more often made the sacrifice to waste their brainpower dive into that swamp, we'd have colonized space and solved hunger etc. by now. But I can't blame them for not wanting to deal with it.