I think the Natives would need someone-a defector or captive-to teach them animal husbandry, assuming they even want to learn it (and why would they? it would be a massive change to their lifestyle).
(going forward, I'm assuming that "Vinland" was on mainland North America and not the Leifsbudr settlement at L'anse aux Meduse in Newfoundland).
IF goats or sheep (or even cattle) are domesticated, this is potentially a massive game changer for population numbers. The reason is that pelts are potentially a limiting factor for population growth in northeastern North America. Without winter clothes made from deer or other large animals, people freeze to death. When hunting is exhausted, people need to move or die to get access to winter clothes, and fighting over hunting grounds is an existential battle.
Whichever tribes adopt these animals now have a ready and growing supply of very warm winter clothes. Even without traditional weaving (adapted by some Native groups IOTL, but the people most known for it live in the southwest) the woolen pelts of goats and sheep keep more people warm and allow them to survive even without large hunting grounds. This in turn allows a much denser population to develop. Over the course of 500 years, the population of the Eastern Woodlands could be much higher than OTL.
That said, any population growth might start from a lower initial population than OTL due to the presence of feral pigs. These will spread ahead of the domesticates and cause great damage to the environment and to fields. Hunger caused by pigs eating maize and wild plant foods and disease caused by pigs pooping in fields where food is grown (hey, we've had outbreaks of E. coli in Spinach for the same reason within the last couple years) may cause the population to fall hard before it starts to recover.