The pigs don't really fight over pigloos too often. We have three, and they don't mind switching around. Often we find Fuzzy in the smallest one and Bean in the largest one. But occasionally Bean and Potato will squabble a little.
Another reason they don't fight often is because Fuzzy always wins. In this case, which actually happened, though, I don't think Fuzzy was fighting. He barely even noticed them as he plowed through and went to sleep.