I mean, I guess he could think it's some take on reincarnation, but... pushing someone into being another person, just so you can try to reconcile /your/ screwups?
"Hey, Eiko, c'mon in!" Lei's door is open and she's been waiting. After all, having the other girl over would be pretty fun and she doesn't get to spend near enough time with her - she's been a little ball of stress lately, with all the things going on before heading home.