In my community almost all problems are political. "Problem solving ability" matters if you are HFT, but everything else? Math can't tell you the best way to use land, educate a kid, what to pay for healthcare and how, how to prioritize biotech research, set a minimum wage, decide congressional maps, all sorts of stuff that actually I pay for or care a lot about. in fact I think you are totally misinterpreting what people are saying to you, you are 200% wrong: the 2-3% of your time spent coding was the valuable part, and your so called problem solving ability rarely solved any real problems.