As someone with a degree in math and a degree in engineering... One of those degrees got me a job.
That being said, that's the way engineers look at managers, as generally they want to build something that works and is safe, but all managers care about is getting it done quickly and under budget, which means any micromanaging gets pushed down to the technician to have to deal with... And trying to argue gets you fired.
After you hit full time student, the rest of the classes are free, so I filled my schedule way too full. All my favorite teachers were in the math department too. No regrets. That and I ended up using my math skills when I switched to machine learning engineering.
That must have been cathartic as hell.