Diablo 1 is probably the only notable game you could legitimately describe as a real-time roguelike.

Diablo 2 drifts pretty far from the formula, to the extent that it largely defines the "action RPG" genre as we still know it.

Diablo 2 has hardcode mode which actually pushes it closer to roguelike than Diablo 1. I'm not sure what other differences do you have in mind.

I'll take your word for it; I'm not familiar with the differences between I and II.

Rogue-likes were turn/tick-based engines, played in a terminal, using the curses lib (or equiv). Diablo is no Rogue-like, good sir

my credentials: I'm the creator of what I think was the world's first commercial-only, traditional Rogue-like game (AFAIK)

Roguelikes, in the traditional sense, are definitely turn-based games.

bingo

Rogue and then its Rogue-like descendents: Hack, NetHack, Angband, Dwarf Fortress, DCSS etc