This does not necessarily mean he gets all of France. And, let's discuss the effects after the POD and not the plausibility of the POD and all. My chosen POD is that Philip VI dies months after his coronation and Edward III defeats the French and takes the throne from Philip's baby son. What would be the effects? What will happen to Burgundy? Will there still be the Lancastrians and all? What will happen in France? Where will the Plantagenets be based? What if?
Philip VI became king in 1328 when Edward III was only 16 and did not rule yet in England.
You first need to have a conflict : the war started in 1337.
Philip VI's son John was born in 1319. So this future John II was 18 in 1337.
From 1328 on, the succession rule was that nobody could become king through a female line.
But anyway, let's say that Edward III becomes peacefully king of France through the remarkable diplomacy of his mother Isabelle (rather than by force which was impossible at the time) in 1328 because Philip of Valois and his brother Charles of Alençon died before 1328. Same thing for the house of Evreux : Charles of Etampes and Philip of Evreux either are dead or like so much their young cousin Edward that there is an almost unanimous support for Edward.
Then France and Paris become the core of the Plantagenet empire. England becomes a satellite the same way the low countries became a satellite of the Habsburg empire centered on Spain with Charles V and Philip II.
Then you can forget the Lancasters and Yorks.
I doubt Edward will marry Philippa of Hainaut. His best interest would be to marry his cousin Jane of Navarra (the daughter of Louis X who had been deprived of her rights to the throne because she was a girl and a small child).