Are there any pets that can't produce themselves when hatching?
I know it's a bit of an odd question, but I'm curious. Recently I've been getting into using Pets in House decorating, and have consistently been annoyed when my own pet is produced from hatching. So now I'm curious in asking; are there any commonly available Pets that can't produce themselves from a Hatch?
I know that there are certain special and exclusive Pets that cannot produce themselves, but those are not available by any means other than being really naughty. Are there any that are more commonly available from being purchased or dropped from a boss?