Meh, I'd only support if you were able to turn visibility of the Graveyard off and on. But really... what's the point of it? I understand that you wouldn't have to list any pets, but there is also a lot of downsides like Name Snatching and people bugging others for their dead pets. If there is a toggle, I'd be okay with it, but you can't really toggle visibility of your showroom, so I'm not sure you would be able to toggle this.
So yeah. That's my two cents on it.