Many Ranger like their pets because of the style/looks, so I thought Anet should create a menu to choose the status that you want for each pet.
i.e: If your bird have a status of a bear it will do the same damage of a bear (low) and have more hp instead. Now if your bear have a status of a bird it will have less hp but do a lot of damage.
Its the option to give the players the ability to choose between different stats sets for the same pet.
Anet would have to fix the category of the status in the pet menu.
The pet skills can be maintained the same for each pet or it can change accordingly with the stats (Anet would have to see whats better to keep the balance).
Please remember this is just a suggestion. If you like it, lets make it happen.