[prpl]

The problem is the premise of the question.

Is “better programmer” a useful metric to problem solving? For a class of problems, probably.

Math and other hard sciences will probably give you a different perspective than a traditional CS education which may help with solving certain types of problems. Those may be programming related, or may be something else. Of course it may depend on the kind of person you are too.

In my opinion it’s worth pursuing whatever feels hard in terms of education, even if there’s not a rigorous CS education. You can always go into CS later.