[And then one day he learned that a Lady scorned results in six Eevee eggs that she refuses to let him get rid of...]

Not that I've ever heard of, actually. Once they're captured, I believe they're bound to their trainer, regardless of the treatment they receive.

[If only because, uh. With the inferiority complex he's been instilling in Phantom, if the Absol could've left by now, there's a chance he would've.]