Lets examine this as dispassionately as we can. Here is a list of the
"provinces" of France when the nation was dissolved at the time of the French Revolution. These more or less reflect what is in the game, even at start in 1444. Lets focus on one province in particular. I'll just pick Orleanais as I know a bit about that one.
In 1428-1429 alone, Orleanais Province saw
at least five important battles/sieges: Orleans, Beaugency, Meung, Janville, Jargeau. In each of those battles, the English suffered between 2000 and 4000 casualties and in each battle there were anywhere from 3000 to 6000 combatants on each side. Each has its own wiki page so you can look them up for yourself.
Presumably with this string of battles/sieges in 1428/29, the French had pretty much regained "control" of the province of Orleans, a territory that must have been something like 20,000 km^2.
France in the 1450s seems to have had about 18,000,000 population. Whether Orleans should be 1/10th or 1/20th of that total I cannot say. Given Orlean was a major city perhaps it is safe to say it should be on the higher end, but given this is just bbs hypothesizing, lets low ball it at 1/20th = 900,000 residents in Orlean in ca. 1450. At least three cities / major towns (Orleans, Blois, and Chartres) with each of those perhaps having between 150K and 200K each? I dunno. . . maybe my numbers are a bit high . . . Even if we go with 500,000 total population for all of "Orlean province" . . . we still have the fact that in real history, there were at least half-dozen battles/sieges to wrest provisional control of the province back from the English by the French. Something like 10,000 to 15,000 English casualties . . . yet, in game 2000 guys (even less if the garrison is somewhat depleted) can gain (in your mind) "total control" of this province?
You know what, your right. The game is totally broken. I don't even know why we are playing it.