I always heard that they assumed it was freshwater outflow from the Saint Lawrence river (what little there was of it, covered with ice) and a subsequent ice dam along Newfoundland and Nova Scotia burst.
The Mackenzie River just seems to far away.
Note the Mackenzie River way over to the Northwest on this map. Almost outflows in Alaska.
It’s all one world ocean; as long as the event left evidence, that’s what happened. :^)