This was truly a rarity. Flush veneer doors are generally among the least expensive of all exterior wood doors.
99.99% of the time, you’re going to be money ahead to replace them with new doors, rather than trying to repair them, when they look like this.
However, the original veneer was peeled off with such ease (this was key), that laminating new Oak Veneer onto the original doors was a snap.
We boarded up the opening, took the doors back to our shop, spread-on some super commercial polyurethane adhesive, laid the doors on top of each other…
…upon a smooth hard surface with a massive amount of added weight on top…waited a week or whatever, a little stain and varnish on one side each and they were probably better than new. Hard to believe, but true.