Asking the right questions however is a matter of technical skill and no discipline will teach you how to better dissect a problem in smaller problems than math

Asking the right questions however is a matter of technical skill and no discipline will teach you how to better dissect a problem in smaller problems than math and a scientist will always be better at asking questions than non-technical folks ;-) My experience from leading both engineering and product teams is that this is mostly wrong. If it's product/market fit you're worried about, then the problem of asking the right questions is not a hard-skills problem. It's domain expertise and communication skill. Knowing what an S-expression is or POSIX internals won't make you better at any of those things. Working on your soft skills will.