And here's where I ask you how you'd like it to end. The Producers have no qualms about killing him. They could do it (the weapons are right there, even).

Or he could get a 'insolence!' and wake up back in the courtyard with crocoducks possibly trying to eat his tail.

Or he could get the above, and also wake up with a newborn, very weak and constantly fussy baby who's as close a genetic match as possible without defects unmistakably very much like his lost daughter.

In their metrics, it would be things like his popularity, and any concerns about others getting up in arms or going looking for him causing issues that would dissuade them from the killing.