The New Deal
Okami played at the peak of his performance for this fight, as it clearly depicted in front of us. Those forms Okami could use right now went to the maximum level. But according to Okami, this transformation was not even the rest of his powers.
There were other forms he had yet tapped on while using his smurf account. Okami kept saying that this fight would end easily if Fenrir were here.
Fenrir was the dog Okami had that helped him throughout his journey. That hound was also the reason they defeated Alice before, when the two butted heads. Okami called it his second form. This transformation he used while fighting Alice was the maximum level of his first form.
But having a wolf was not the only reason Okami always had the upper ground.