2nd version (errrr or rather there's been 1 total rework). Confusion is understandable because of it's weird versioning scheme. "Because I Love Her v1.0" is the original game, currently contains more content than the newer version, though it's mostly the hard ntr variety.
I think the remake was called "Episode 1", which came out last fall. The current version hosted here is a continuation of that remake but it was called alpha love path update, or steam update - sensibly this is the "episode 2" or second release in the remake.
TL,DR -there's 2 separate games. v1.0 is the old one, more or less complete. The new game just got it's second update, which focused on the non-ntr harem path.
Yup, I've definitely played that before and was sad to see it abandoned.