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I believe that 90% of liberals arts majors are utterly insignificant and people who go into such majors are doing it just to say "I have a college degree" and brag about it. You will definitely see more inflated ego with liberal art degree holders rather than engineers or doctors or holders of science degrees.
In Engineering fields you definitely need a degree to train your brain to perform engineering tasks that require advance mathematics and physics knowledge unless you are in the 0.5% of the population who can learn Math and Physics without the need to go to college and there are few like this in the engineering world and they are great engineers. On the other hand, an engineering does not mean at all that you will be a good engineer since a good engineer is someone who is not just knowledgeable of theory but also of practice and many engineers will never learn how to be practical engineers.

It's much the same way in the sciences. I teach computer science and am an active researcher - the fields I teach and do research in these days I never had so much as a course in.