Well I read the manga about a year ago and really couldn't figure out where the reverse comes in in her project. If it was a reverse harem then i would've gotten it. I've never read tale of genji so I can't really say much about that. I guess if in tale of genji the girls took the initiative the "reverse" would make sense. Any idea i couldn't get any results on google.

Hikari Genji raised his perfect bride, while she is raising her perfect ladies man.