Incorrect. Think about it. Why would they change a system that worked? However, I'll let William Bradford describe why the pilgrims changed to what would eventually be called capitalism. "So they began to think how they might raise as much corn as they could, and obtain a better crop than they had done, that they might not still thus languish in misery. At length, after much debate of things, the Governor (with the advice of the chiefest amongst them) gave way that they should set corn every man for his own particular, and in that regard trust to themselves." Misery does adequately describe every instance where socialism has been tried. So, yes, the Plymouth Colony is a cautionary tale against socialism.