Are pet loot packages worth getting?

So if I'm attacking (whether it's a long ranged or short ranged skill that requires moving or not), it will not loot for you even if the drop is really close?

The pet will move around you as long as you're not actually moving to a different position. If you move to a different position, even a little, the pet will revert to "follow you" behavior.

Also, @everyone: Which pet should I get for this? I prefer cheap one and I remember I used to have a pet before but I stopped using it after I barely gained even 5 mil off looting (with only Magnet and pouch)?

Whatever you want. It doesn't matter really.