Louis XIV will never be King of France here as his grandfather would never become King after Henry III’s death. If everything in France will go like OTL, unlikely in every aspect (as I think Anne of Brittany will marry Philip of Burgundy and not Charles VIII) maybe possible in the general lines with the extinction of the Valois and Valois-Angouleme branch the next in line will be the Kings of Burgundy and not the Bourbon King of Navarre (plus here likely ATL Henry will be only the Duke of Bourbon and not the King of Navarre)Charles of Burgundy will mark French history by creating the states of Burgundy. This kingdom will flourish until Francis I's accession to the throne of France. He tried in vain to recover Artois, Picardy and Lorraine. In this TL, there is no Tudor dynasty because the transition between the reign of Edward IV and his son was peaceful. Richard of Gloucester remains faithful to his nephew.
During a period, the states of Burgundy will be annexed by France but the duke of the time will recover his initial borders. Then, the states of Burgundy will know particularly dark years during the reign of Louis XIV. The King of France concentrated on two fronts in Spain, then in Artois and Picardy. The states of Burgundy will survive painfully until the twentieth century when a treaty confirms the states of Burgundy as a sovereign country.