As the "owner" of both dogs and a child I can say that they fall into different legal categories.
For example, if your dog falls ill in the middle of the night you can call the Vet and he will come and see your dog at 3am. Not a locum vet, or a Vet "hotline" but the Vet who knows your dog and its history.
You can keep a dog in a cage, but not a child. However, many cunning parents have got round this restriction by removing the lid of the cage and re-naming it "play pen".
Dogs are allowed to foul anywhere (as long as you clean it up), while Children have to wear nappies.
If you walk up to a stranger and say "could you hold my dog for a couple of minutes?, I'm just popping into that shop" the stranger will probably say "Yeah sure, what a cute dog". If you try the same with a child the stranger will probably scream and run away from the responsibility of holding a small member of the same species - no matter how cute.
Doorman - Basset Hound by any chance?