I do hope that they get the chance to talk because it would be a great way for Tavvy to regain some of the confidence he lacks and progress his character forward. I think meeting an alternate version of his parents that lived a more domestic and reasonable life then the parents he knew would help him to recognize that he doesn't have to become the person that his parents want him to become, what Vrissy and Vriska want him to become. Seeing that even his dysfunctional and abusive family can have a better future even if it's in an alt universe would provide him the closure to a part of himself that is holding him back. Most of all, I hope if they do meet, he will finally get the chance to feel a little of the parental love and approval that he always searched for but never received.
i'm fujoshing out