OT - I think proposing a live-in would mean that he wouldn't even consider a marriage at least to me. Like Arnav did a livein when Nani pushed him for some sort of commitment. I think till then La remained his Girlfriend. (Correct me if im wrong) He even announced his engagement to her only because of his denial of feelings towards khushi..
So I think he would have proposed her for a love relationship to date like a Girlfriend but no mention about live-in or marriage. He knew of her beliefs in marriage, and also asking for a live-in would mean no different from La's situation. Even though, I would still think he was going towards marriage in the long term.
851