Depends. The Dutch were pretty much a spent force in global military terms by then, so I don't see it as having any great future ias an expansive power in the Americas. If we assume that this is the only point of difference, the Dutch will not be allied with the French again until the late 1770s, so there is no linkup between Quebec and the Hudson River to worry about for the British colonies. The wars with the French would go differently, of course, especially if the belligerent parties had to take account of neutrals. Nonetheless, I don't think it would have changed too much. Boston and/or Baltimore could have made first rate British naval bases just as well. Plus, if the New Amsterdamers have an ounce of sense they will trade freely with the British (and perhaps the French),thus not even changing trade patterns all that much.
Maybe this turns out like Tranquebar? A small enclave on the coast of a large colony belonging to someone else, and largely retaining its independence because a) the owners do not want to admit it's pointless and b) the big colony's rulers do not care enough? There could be large amounts of money in New York, especially once the Great Lakes and beyond are settled by whites - it is a great port. I'm sure some arrangement could be found. But It would cost whoever wanted it a fortune...