Why not? Geographic location is still the same. New Netherlands (didn't mean to just say New Amsterdam in the previous post), which contained the coast of New Jersey, New York, Connecticut, Rhode Island, Delaware, and a decent chunk of Maryland, is in a really good position. Assume those states, with the exception of Maryland, expand out into their OTL borders. The big advantage New York had, which will remain an advantage for New Amsterdam, is the Hudson River. You have a fantastic harbor that leads into the mainland. Then it's an easy hop to build the Erie Canal. I don't see why the Netherlands (or the Dutch US?) shouldn't be able to build the canal. That means New Amsterdam controls trade to the Midwest. That in itself is nice, and with added tariffs, it's even nicer. There will be more of an impetus to find a different route, of course, but that'll take a while and it's not like the Erie Canal didn't face that same competition OTL. There's also no reason to believe New Amsterdam won't become a big banking/stock city, especially if New Netherlands gains independence early on. Considering its stronger connections with the Dutch, it's even more likely than OTL.
In addition, the ARW will be butterflied away, or at least delayed. Remember what Britain's strategy was OTL? Take New York and sever connections between New England and the South/Mid-Atlantic. That's no longer necessary in this TL. It's far more likely the thirteen colonies will stay part of British North America (well, eight colonies, since five are basically entirely in New Netherlands...). This means slower development of the area, and slower westward expansion (would the French sell Louisiana to Britain? Would Britain declare war on Mexico just for a piece of desert?). No, there's going to be a power void in North America in this timeline that New Netherlands is perfectly positioned to fill.
Wow, I really like that scenario. If New Amsterdam was so succesful, the West India Company would be a much more powerful force than OTL. Would they apply this wealth and power elsewhere? Maybe somewhere in the Caribbean? Another attempt at getting Brazil? Or could they buy Louisiana from France at some point?
The last seems vaguely reasonable when one takes into account that without RI and CT to expand into, the Massachusetts colonies would likely look north, past Maine into Acadia and Newfoundland. Thus, British efforts would probably be doubled against France, even more than OTL. Could the Dutch reap the benefits of being between two so embittered rivals? Maybe they could buy some chunk of French colonies after a particularly bad French loss that needs to be paid off... Or the same but with the British instead.