FWIW, we all do that to an extent. Pick a label and make it good or bad, but something you can use as a yard stick. You are on the money, but oddly fall into the same trap by using label 'millenials' in a tribalistic manner ( the term has been largely made up to describe a giant cohort, and as most giant population terms, it shares the same flaws ).
I do not think you are wrong in general. I am not sure, however, if it applies to that particular group only or even in general.
Qualitatively I think there's something different about the way that people under-40 tend to think about identity, particularly the people working in tech that we're discussing here. We used to have thirtysomethings and yuppies and other groups like that. But it hadn't infested everything the same way that Zoomies and Googlers and Pythonistas/Rubyists/Rustaceans has.
I do not think you are wrong in general. I am not sure, however, if it applies to that particular group only or even in general.