That's interesting, because my experience with Boomers and job identity has been the opposite! Whenever I meet a middle-aged or older person, their first question is always "what do you do?" If I introduce friends to my parents, I get the same question, "What do they do?" Almost every "Boomer" I've known has identified themselves as their current or former profession. "I'm a teacher," "I was a nurse," etc.
On the other hand, most of my younger friends and acquaintances have good jobs, but I've never see one introduce themselves with "I'm in advertising," or "I'm a CPA" the way their parents do. I don't even know what a lot of my friends do for a living, and I don't care, because it has little impact on their social life outside of work.
Maybe it's a Midwestern thing?