Take these for example.
Rabbit stuffed with foie gras:
This has cooked foie gras held in with herb mousseline, so it stays in very compact.
Squab stuffed with foie gras:
This is cooked, but the surround is mushrooms so it is a bit looser.
Squab and foie gras stuffed in pastry:
This goes in raw, but then it is wrapped in a few layers of things so the fat gets pretty well distributed. It does shrink more, though, as you can see.