Then Jeanne d’Evreux will become regent as soon she is churched. Edward III of England has no leverage for trying to claim the French crown.
Why Jeanne and not OTL Philippe VU tough? Seem to me he would be the most logical candidate in many ways as both the heir presumptive and the largest landowner in France...
Beyond that, I'd say that some kind of large scale war between France and England is gonna happen in any case. Edward III's claim was utter tosh in OTL as it was and I'd argue he probably knew it...
Philip V and Charles IV had both been aknowledged as monarchs by England, which IMO is tantamount to implicit recognition of the Salic War. Even if someone would argue that it doesn't a non-salic succession would still designate Jeanne herself and not Edward. Even if someone would want to really stretch things and argue that Jeanne was a bastard because of the Tour de Nesle mess then it would be Philip V's daughters and their own descendants (including men already born in 1328 so arguing that women could not inherit the french crown but could transmit their rights wouldn't have helped Edward either) who would get the crown.
The true causes of the conflict where the Franco-Scottish alliance, tensions around Gascony and tensions around Flanders. Those aren't going away and, in many ways, the claim to the French crown was just a handy bargaining chip and legal excuse for the Flemish to back England as well as for Edward to act as if Gascony was his without overlord.