Hard to say. Britain is ultimately a pragmatic sort of imperialist, and it was costing a hell of a lot more than the colonies were getting them to keep tens of thousands of troops there more or less indefinitely.
On the other hand, colonial resistance probably wouldn't have been indefinate, and certainly wouldn't have had the sort of open, direct confrontational and successful methods that the American revolution historically had. A lot of it comes down to things like commitment of individual polities, and even-sub polities, and that's hard to measure. There's also the very real possibility of both sides blinking, and some sort of deal wherein the Americans have some but not total self-rule.