The thing is, even if you get all the Puritans to go to your colony, then what you still have is Plymouth/Massachusetts-Bay (obviously not called Massachusetts-Bay), not New Netherland- an English-speaking settlement dominated by English culture. I'm not sure this is the best base to build a lasting Dutch empire on (especially considering if the Dutch go to war with the English!), though it may give the Dutch more inspiration to build settler colonies elsewhere.
I think, though, that the Massachusetts-Bay site had been chosen separately... though proximity to Plymouth may had been a consideration, the two groups operated separately for the most part...
An interesting consequence, though, is that without Plymouth, the Natives in the region get a few more years, and also Massachusetts-Bay will probably be less inland and more spread out along the coast...