IOTL French Jesuits converted a lot of the Huron Indians. Massive disease eventually ravaged the Huron (surprise, surprise).
The Mohawk went to war with the Huron to be able to trade with the French, also basically wiped them out. All this would be avoided if the French were were elsewhere. The Mohawk might push the Micmak (or whoever) out of the way to get access to trade, but the Five Nations should be a little stronger.
IOTL the Five Nations kept changing alliances between French, English, and Dutch. Sounds like their only option in TTL is the French. That could make the Five Nations more stable (and might make the French colony a little more stable as well).