I think it goes all the way back to the French Indian war of 1763. Had France lost that war instead of won it, (I'm looking at you British Wank enthusiasts.) French influence would have been less. They would have also not been as spread out as they became.
It didn't help that Britain ended up taking out its colonial losses out on France immediately afterward. High tariffs, the Brittany expedition and arming pan Germans in the Rhineland region all helped destabilize France. We only won our own Revolution due to Spanish aide and the fact that Britain had no place to stage invasions from. Had they owned Canada I'm sure the ARW would have lasted a lot longer.
They took them out
by proxy too: there's a
reason why the current US states of Mohawk, Oneida, Onondaga, Cayuga, Seneca, Tuscarora and Cherokee dominate the Great Lakes area. While almost every other native civilization in North America outside of those of the Pacific Northwest (and only because the Americans, the Russians and the Spanish squabbled over the Oregon Country so much they basically decided to turn it into a neutral state headed by James Brooke) was almost driven to extinction, the Haudenosaunee, because of how they fought alongside the British even when defeat was certain, turned into the palefaces' pet native polity and were allowed to realize their old dream of genociding every single people other than themselves on the southern shore of the Great Lakes as soon as they could get away with it.
Hell, the current US government is modeled at least in part after the Haudenosaunee confederacy - that still exists despite its constituent peoples being part of the US as separate states, even though it's more or less a regional organization now - and the less I say about the northern United States' lacrosse obsession the better. Joseph Smith
really liked the Haudenosaunee, too; the Book of Mormon would be
very different without gratuitous influences from the local mythology, and Mormonism itself would probably not be one of the most gender equal Christian denominations in history.
And all because the British felt so passive aggressive towards the French after their defeat that hatred towards the French trumped any kind of prejudice they must've surely have had towards the then-Five Nations.