The quiet line uses an electric PTO and the 1x8/1x9 uses the manual PTO. There are differences in pulley sizes between the two therefore the difference in belt sizes. A 44A deck has a 1/2" center pulley and can be used by wide frame and quiet line mowers. A 44C deck has a 5/8" center pulley and is designed to be used by the 82 series tractors.
Yes the subframes are the same for the two, but if a 44 or 50 inch deck is being used, the pulley brackets on the mule drive for the Quiet line will be twisted to the left "as you are sitting on the tractor" to accomodate the off set center pulley. The 38, 42, and 48 inch decks have a centered center pulley. Therefore the pulleys on the mule drive will be squared in relation to the frame.