Henry this is where we differ. Also I would, for clarity's sake, like to make it clear that I am using one strand per side of 1842 with both ends tied to pouch. There seems to be little difference with lighter ammo. The real difference occurred with .50 cal. lead, as no doubt my larger double hex nuts that weigh 8.2 gm and .50 steel at 8.4 gm will measure also. I am getting 7.47 fpe with .50 cal. steel, about what you are getting with the lead. Those large double hex nuts w/star washer gave 7.51 fpe. With .50 cal. lead I get 8.53 fpe. Draw is 31".
Thinking back on it I tested the pseudo-taper and was disappointed with the results using the 1842 tube as I got more energy with the present, conventional set up. The only ammo that I tried was the .50 lead as I generally shoot heavier ammo. After the initial tests using .50 ammo I decided on the present set up, which measures 6" from pouch, and when time permitted I went back and tested with the lighter ammo. It appears the difference between the two configurations is more pronounced with heavier ammo. From what I've seen the 1745 tubes have about parallel results. With the pseudo-taper and .50. cal. lead I get 9.13 fpe vs 9.88 with a full loop using 1745. The trade off is the tapered band pulls about 6# less and has a slightly softer release, obviously more enjoyable to shoot. The 1842 also has an easier pull, softer release, with less energy in the upper regions. I have more 1745 coming, and the new 1842 is waiting to be cleared by customs. After which I hope to do more testing. From what I've observed and reading between the lines the thin tubes are better adapted to lighter ammo. There is a thread originating in China stating that in China they use 8mm ball with 1745 tubes. My Chinese slingshots all came with about ½ dozen steel 8mm balls.