[EDIT] I think there's a tendency to have a bunch of names for that set specifically because the latter ~half of Millennials had a very different experience than the early ~half—the early half did have a childhood more similar to Gen X, and they grew up immersed in Gen X media on top of it—so lumping them together doesn't seem right to a lot of people.
I like that. My gaming started with Repton, Qwak, Vertigo and Elite on a BBC Micro but I spent a lot of time playing Dig Dug and Rick Dangerous on green screens. I graduated highschool just as we got dialup and started realising that combined 2D/3D graphics cards might actually be alright after all. (We got one from a little company called nVidia, you probably haven't heard of them though. :P )