I have towed horses and cow and you are right animals move around changing the weight distribution. The truck is constantly speeding up and slowing down. I feel sure the truck won't have any problem pulling them but I am sure it will use more battery
I would have to think that an electric tow vehicle would be better for any animals so that they don't have to breathe any excess fumes that come from the said tow vehicle. As far as if it can, I'm sure it would be great at it as long as you're towing about 90% of the total towing capacity of the truck.