Let pets "Wander"

I feel like pets in this game never seem to do anything you do not really control once tamed. I feel like an option to let pets leave you would be good. Maybe this can only happen if you have a map and the pet will not go off the map and it should show where the pet is on the map. Another thing you can do with this is send a pet to do something (example: You are starving and need food however there is a hostile mob at your door that will kill you if you leave. You can send a wolf to get food). The max amount a pet can do this is three pieces of food. Although parrots can not get food they can send Books and Quills to other players (if there is other players) playing with you. However after you let a pet wander you have to wait 15 minutes for it to wander again. This adds even more uses to pets, since when I tame a wolf or something I rarely bring them on dangerous trips where they could die.