"The claim that higher testosterone leads to logical thinking is nonsense." No one said that.

"If you don't agree with me, just ask any car insurance company." Actually, those confirm gender differences. Higher rates for men are based on the higher male, particularly young males,  propensity for risk-taking, hot-headedness, aggression, thrill-seeking through speeding, , desire to show off and gain status, etc., not lack of logic. All of which could be factors in their attaining higher status jobs in fields that are highly competitive.