I think the CEOs would prefer a liberal arts major who has demonstrated they can self teach the IT bit. It's really the ability to self teach rather than which field your degree is in. When hiring someone w/a CS degree you can't be sure they're able to go beyond what's spoon fed to them in class. When hiring someone w/a liberal arts degree w/self taught skills, they've demonstrated they're able to learn new things on their own, even outside their field of study.
That being said it's possible the industry's matured enough that there's less self teaching involved as fads replace durable technology improvements.