We were. Then people realized "Gen X" was insanely broad, and they split us off into "Gen Y", which never stuck because that was one of the stupidest names ever conceived.

Then it's like none of that ever happened and we're part of the generation who has never known life without the Internet and still don't know what Hammer Pants are.

Don't worry, it's not supposed to make sense. It'll all get redefined again before we're 50.

Ah! A fellow member of the Oregon Trail Generation!

https://en.m.wikipedia.org/wiki/Oregon_Trail_Generation

There used to be a Gen Y in the middle there but it disappeared.

For any living group of people, these labels and boundaries are relatively arbitrary. It will likely evolve over the next few decades (and beyond) as the cultural shifts that occurred become more apparent / distinct.

I usually see 1985-2005 ish as the defining birth years of "millennials"