At the very least, the French had laid formal claims to the St. Lawrence Valley and there has already been attempts by the French to create permanent colonies there.Wait, did the French start also colonising the Saint Lawrence valley before OTL?
Because, if not, it seems normal that they will use ocen gyre from Iceland/Greenland towards Labrador and Newfoundland. After all, Cabots went there for a reason. Now, they can later expand wherever they want, but first settlements IMHO, should be somewhere around Newfoundland/Nova Scotia area...