The correct distinction is that the English mostly came for religious reasons while many immigrants settled in New Netherland to gain wealth and participate in the booming fur trade.
While the English colonies did attract many settlers seeking religious freedom (such as the Puritans in New England), the overarching motivations for English colonization also included the pursuit of wealth and land. In contrast, New Netherland, established by the Dutch, was primarily focused on trade, particularly the fur trade, and attracted settlers looking for economic opportunities rather than primarily seeking religious freedom.
Therefore, the statement that best encapsulates the initial reasons for settlement is: “the English mostly came for religious reasons while many immigrants settled in New Netherland to gain wealth and participate in the booming fur trade.”