In undergrad, I was majoring in math ed and quickly noticed I couldn’t get the internships applied math majors were landing. So, I switched. My logic was exactly as you stated. With one degree I could choose either path but with the other I’d be pigeonholed for life or until I got another degree. I think it has to do with the way teachers are perceived — less than professional. Therefore, anyone can do what teachers do, but the reverse not so much. It’s imperative and incumbent upon teachers to professionalize their own careers. My two cents.