Diablo II was my first real PC game love affair, so for a long time, I just bought games based on "does this look like Diablo II?" I didn't care about labels and genre-splitting. That's how Divinity and Arcanum and all the Black Isle games fell into my lap - they just happened to also have 2d isometric camera with mouse controlled characters.
By the way, each of my characters in Diablo II had a name and full fleshed out backstory that was constantly expanding in my head as I played it. I felt very much like I was playing a role and developing a character. I even wrote some fan fiction about them. So there.