I agree with your core philosophy (all generations should be treated with respect and inclusion), but I do see a purpose in embracing labels to give others a frame-of-reference for one's own life. However, I prefer this be done positively RATHER THAN negatively.

This article of mine scratches the surface of these generational wars...

https://medium.com/indian-thoughts/summarizing-americas-eight-generations-65f97d05aef6

...however, I will be writing a lot more about all of this within the coming months.