I think what people miss is that people are not their professions.
I did not date people who were doctors, cops, school teachers. I dated people who worked as doctors, cops, and school teachers. I've dated a lot of people in a lot of professions. I even dated a pro artist and graphic designer once. Their choice of vocation was hardly the reason I broke up with them, or moved on or whatever.
I married my husband because he was a good human being. He made me laugh. He was quick to forgive my short comings. He liked similar hobbies, and was happy to go on adventures with me. He loved me when I was at the absolute worst in my life (after my dad died, it was a very ugly few months in my life). The fact my husband is an EMT and a firefighter is completely secondary to our relationship.
So, when I dated an artist I don't think I gave much thought to their work. And when we were at home, sometimes we drew together, but again, we didn't give much thought to it, just like a couple that plays video games together or does any other activity together.
As for sharing the same profession, I've never dated anyone at work. So I can't really speak to that. My husband and I do work for his dad at his comic book store periodically and I think we generally make a pretty good team. So I think it depends entirely on the couple.