Ok, here's my take and all standard disclaimers on such topics apply as I have indicated below:
I have a slightly different take on this based on how Dakshayani and Parvathi were characterized in DKDM. This has no bearing on either how it was portrayed or what the reality was. This is just adding to Jaya's post -just want to point out that whey they ultimately did cave in to male chauvinism, the CVs for the most part showed the difference in personalities very clearly despite being of the same soul.
Please note that I am comparing DKDM Dakshayani and Parvati personalities here. I would do the same even of Jaya and Jhum had played the roles.
Some differences I noticed:
Dakshayani was fathered by a control freak. This made her play the victim.
Paro had a father who has raised an independent thinker. So she had no reason to herself as weak.
Dakshayani liked to be the poor little rich girl. Paro took independent decisions based on what is right.
Dakshayani always craved for attention and approval of her father for the most part. Paro seeks her own approval; she is confident of her decision and her parents support for the same.
Dakshayani love for Shiva was of the emotional kind.
Paro's is more spiritual. That is why she chose the path of tapsya to attain him, and when he relented wanted him to approach her parents for her hand in marriage.
The way they they have shown these 2 characters, Dakshayani was a great lover. That is why her loss made the physical and materialistic aspect of Shiva come to the fore and he lost himself to that.
Paro technically never died, but did leave him for years on end. Shiva never lost himself in that separation. He has either made an attempt to get her back or let her find her way back to him.
Paarvati does not have to go back to past birth to rediscover Shiva. This is a self-inflicted amnesia and she was very clear that he has to do the tapsya. He is trying to put these memories back in her on purpose or as the situation presents itself. That is plain cheating and does not make too much sense, but then us digging for deeper meaning in the track makes just as much sense.
Long story short, the scene shown yesterday had no significance whatsoever. It was plain filmy and let us just enjoy it for the entertainment value, past or present.