"I say that if Henry was around to press his claim after Chales the Mad died england would have been strong and uninhibited by infighting and thus France would have been won before the longbow was countered." The problem with this theory is the Long Bow was always victorious. It was not. Henry embarked for France and Azincourt in order to re-conquer. RE-conquer means it was lost before.
Bertrand Dugueslin did it.
Then at Patay, the Long Bow didn't do it. So Henry would probably put his faith in a tactic which saw him victorious and lost, as his generals did after his death... Most probably...
Battle of Verneuil is 5 years after Azincourt, and Orléans Campaign 4 years after.