No, no daybills were stone litho this late in the game.
The paper used for this "Duel" poster is the type of paper used for stone lithos (slick image side, rough back side) which is why I was calling it a stone litho. However the correct term is "hand litho," which refers to the long period in the printing of daybills when the old stone litho technique was used for printing, but with rolled zinc plates instead of limestone plates. This became necessary after the limestone required to make stone lithos became too scarce. When the transition was made they stopped making the old "long daybills" (about 15" x 40") and went to the much smaller size used today (about 13" x 30"). -This Duel poster was definitely not done with offset printing, although there was a later transition to offset in the production of modern daybills. I have quite a few examples of those, but they don't use the special type of paper used for hand lithos and stone lithos. The transition in Australia between stone lithos and hand lithos is discussed by Ed Poole on learnaboutmovieposters.com; he credits his information to John Reid, a real expert on Australian posters (moviemem.com). How to tell the difference between a stone litho and a hand litho? You can't judge by the type of paper, which is the same in both cases, but Poole says you can see a significant difference in quality if you compare examples of each side-by-side; in Australia the long daybills were almost all from the old stone litho days (which ended in 1941 according to John Reid).
