I guess I disagree with the prevailing feeling here. If I were him I'd want to play somewhere else too. All a player really wants to do is to play, anywhere. Better to do it in an organization where he won't hear whispers, real or imagined, about his dad. This trade is good for Kyle. Of course he's just "concentrating on playing" but how well will that concentration hold up when the comments start adding up from some player, ball boy, coach, FO person or fan, even when they are completely innocent. Probably most everyone will behave professionally but why not put the kid in a place where he won't have to deal with that?
If he were a serious prospect who could bat leadoff and pick it in the field, losing him would matter, but he isn't. Best of luck to him. I hope he makes it to the show for a season or two and steals a few bases before he becomes an assistant coach in the minors.