All the talk about 'live-in' made me think that it can't just be for comic relief. The CVs seem to put each dialogue in the episode for a reason.
HS saying that he was happy with a status quo made it seem (to me) that HS and Babita were both happy to take things slow, stay where they were, and be content with stolen glances and moments. Neither had fully taken into account what the next step would be because neither wanted to take that step. They were waiting for the other to step up, and neither was nearing the end of their patience yet. Afterall, despite all those passing remarks about the duo's net and drinking addiction, there seemed to be a hesitation or a reserved manner in which they both brought up the other's shortcomings. As if they didn't want that bubble to break and weren't ready to take action. This was partially because they weren't at that point in each other's lives yet. Especially seen in the episode where Babita pushed all the wrong buttons and took the wrong route to stop HS becoming an alcoholic.
The fight that Minnie/NB instigated seemed a necessary push to ensure that these both get out of their comfort zones and address the underlying problems at hand. No relationship can work without communication, and even though these both understand each other most of the time without actually verbalising their thoughts, they are required to do just that for matters of the heart. Babita's insecurities are evidence of this. She wouldn't feel so in the future once HS talks to her about this or shows exactly how he feels. She wouldn't have Mita's name on the tip of her tongue, ready to come out during a fight, if it hadn't been for these insecurities. Even if she was in a loveless marriage, she was betrayed nonetheless. Having HS hold Mita's hand and comfort her, maybe cropped up thoughts like, "What if he is just so innately good that he would be willing to do this for each and every woman." Which he is. But he wouldn't go that extra mile for any of them that he has for his daughter, and his daughter ki mother. That slight difference is what needs to be communicated to her.
This fight was necessary for Babita to look at what the both of them have and realise that HS isn't a saint. He's a scarred individual with a tonne of baggage that she will have to help carry. Being given Imarti's utensils or diya does not symbolise stepping into her shoes or taking her place in Hanuman's heart. It only means that HS trusts her to take care of his past (to some extent) and is willing to let her try. He can't leave behind his past and move on like she can. She can (in a way) forgive, forget and walk away from her past, but he will forever have to live with the memories of a love and child lost to death. She will have to understand that she has to be Babita for him, not Imarti. She has to be willing to accept that 'Imarti Imarti thi'.
HS on the other hand needs to come to terms with his past. This push, even if crude, was necessary for him to get used to or make peace with the change that is about to take place in his life. 'Tatolna hoga usko apne dil ko.' Again, I feel Minnie will be important in this journey as she questions him why he rose her mother's hopes only to fall back to Imarti. He might have left the ball in Babita's court, but he did make his feelings clear. Minnie would probably not even realise this and her mannerisms would also hurt HS if she is rude with him. I wish she would be calmer and listen to him without forming opinions of her own beforehand. It would be another learning curve for her.
I'm glad that it was their daughter who brought them out of their comfort zone because even if the immediate result was a disaster, this will eventually lead to the happy family she had spoken of.