It is now known that teaching of music actually increases mathematical skills (The Greeks knew this), so there is nothing wrong in teaching the arts.
And frankly, I know a lot of techies who seem to have no ability to reason at all, beyond their specialty. They can write programs but their common sense has fled the coop. Sifting the fine nuances of social discourse, or piercing through the clever lies of politicians, often requires more than a simple scientific bludgeon.