They probably do; adult converts to any faith think about the tenets of that faith than those born in it. “Fish aren’t aware of water.” That holds for those who convert to Protestantism from Catholicism as well.
Of course Dean illustrated that later by the zeal he showed defaming Republicans such as George W. Bush and in defending Democrats such as Bill Clinton. That may have been in part because he had been lionized by Democrats during the Watergate investigation, once he changed sides.