My undergrad work was in English and psychology, my grad work in philosophy, and it's done me fine. There's never been an instance where I wished I'd had a computer "science" class. Nor have my most capable colleagues been from computer science, on the whole. The comp sci grads tend to have very narrow views of how to do things, which doesn't work out so well in the real world. You have to like to learn to be good here. The liberal arts are far more capable of cultivating that attitude. Comp sci folks, in my experience, only want to learn enough to get a job. Once they show up on the job they're remarkably uncurious. So they can't keep up with changes in tech and programming methods and style. Also, they tend to be uninventive.
Anyone working with tech should have a class in basic logic, as well as a good command of written English, and know how to closely read a book. Beyond that, it's all just getting experience, preferably in the real world, not from exercises based on idealized and unworldly environments. Those who deeply understand computers do not, as a rule, become professors of it. The rewards are so much better elsewhere.