Smaller water pump pulley

Additionally theres 2 pumps. One for A/C cars and one for NON A/C. A/C cars had a smaller pulley because of the belt routing and such. I believe theres 2 different pumps. One with 8 fins, one with 6. Is it a possibility the 8 finned pump went on the one with the bigger pulley since it turns at a slower speed, and the 6 finned pump went on A/C cars because the smaller pulley turns the pump at a higher rate of speed, and they were trying to maintain both engines at similar temps from the factory regardless if they had A/C or not. This is my theory. Not sure its correct or not.