It does not matter how many twine loops are in the bale. All that matters is how wide they are. By width, I mean the width of the chamber of your baler. They are usually either 14" or 16". Bale length is also set on the baler depending on how many integer bales you can fit on the first table of the stacker wagon (either 2 or 3). Bale height also does not matter because the push plate on the ground pickup chute is adjustable. Do a Google search on bale wagon capacity and you can find that each wagon model has several bale count capacities, depending on your bale dimensions. Once you have used one of these wagons, it will be hard to go back to a kick baler because the resulting stacks are more suited to one-person operations, especially if you can stash them under a roof, especially of it is a hay buyer's roof (as in my case).
YouTube has plenty of videos on all the different models in action: tractor pulled and self propelled. Maybe you can find one showing triple twine loading.