Retake some provinces was the best they could have gotten from the peace in the vast majority of reasonable scenarios. It would have taken extremely lucky scenarios to arrive at an English king of France by 1444.
You seem to be operating under the notion that England's enforcement of its claim was just a matter of military strength. That's delusional. England had won dramatic victories long before Agincourt and still never managed to enforce its claims to France except for a brief window of time after Agincourt.
And they only managed it then because the French king was insane, and the French nobility was in the middle of a civil war where a lot of them would rather be ruled by the English than by a French king favoring the other faction. That's what made the English grab at the French throne possible during a brief window in the 1410s-20s.
Once Charles VII was crowned in 1429 and managed to reconcile the different factions in the French civil war by 1435, that window of opportunity closed. Even large British victories wouldn't have made holding the French throne a reasonable proposal for the English.
(And we have plenty of people in this thread pointing out that they DID win the HYW, so it's clearly not unwinnable)
Who was saying that there should be an English king of France by 1444? I am talking about the war continuing for a long time, potentially becoming a 150 year war.
The first English kings were arguably not actually intending to make a bit for the Crown of France, they just used their claim to the throne to legitimise their war. Legally they owed homage to the French king as vassals, fighting against him would make them merely rebels, by claiming the Crown they became a legitimate challenger and were more likely to get support in France.
Their success in enforcing the claim for a brief period was more about the fact that they controlled Paris and France was in chaos after the loss of so much of its nobility at Agincourt. Being crowned didn't really make much difference, they only controlled the territory they actually occupied anyway whilst the lands they didn't maintained their allegiance to the French. It is only in the game that enforcing the claim actually gets you control of all France.
Charles still could have been killed, Burgundy could have easily switched sides again (they did 25 years later) or Charles's nobles could have rebelled. France was hardly completely stable. Plus, as I said previously, a continuation of the war would not have necessarily meant trying to regain the title of King of France, simply securing the territory they had just lost in the French resurgence would be an entirely valid goal for the English.
In addition, we are assuming that the war just ends when a truce is made with England still is possession of their French territories. The war had already gone on for 100 years of truces and fighting, most likely (assuming no war of the roses) there would be a truce and then the war would resume for exactly the same reasons. The English claim to the French throne was only abandoned in 1475 as part of negotiations, the war could have begun again at any point.
I have won the Hundred years war, in various forms since I usually prefer not to PU them, I have also made an empire as Ragusa. A player can do anything, I am talking about an AI or if France and England had equally skilled players behind them.