Coding doesn't just make you a programmer, it helps you think logically. I've dealt with people w/o formal math and programming background and I can tell there's "something" different about their way of thinking. Coding, like math, encourages you to compartmentalize, think step by step, connect the dots, control complexity, and focus on the goal. People with less/no exposure to math and coding find it more challenging to stay on topic and think rationally.