Anglo-French Union Colonization?

Perhaps a bad question, but let us assume for a moment that the English and French crowns become stably united at some point, and remain that way into the period when both states started colonizing (say, the mid/late-1500s or so). How would such a state colonize? More like the English? (Settler colonies + profit colonies) or the French (profit all the way!)? Or neither, for that matter. Maybe it doesn't colonize at all?
 
I don't know about uniting the two crowns, but uniting the two nations is pretty easy: Just have the English defeat Joan of Arc's armies at Orleans. England and the northern half of France become one nation right before Columbus makes his voyage.
This new nation would be ruled by Tudors, so it probably would have the same policy of colonization as OTL's England. England might try to send out many Francophone immigrants to the colonies to live alongside English immigrants in the hopes of getting them to integrate into the Empire. It's what they did with the Scottish and Welsh IOTL. This might work, or it might spectacularly backfire as francophone speakers in the colony use cultural or (post-reformation) religious differences as an excuse to revolt against the British crown. The American war for independence may go down in history as the "Revolutionary War" on one side of the Atlantic and "The War of French Betrayal" on the other.
 
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