I have never had an ASL that was 1&1/4", they run from 1&1/8" at the widest to less than an inch for my JD Berrys. Core depth and where and how the limbs bends, makes or breaks how an ASL will shoot. There is of course the Stotlers which are very wide, those are obviously not an ASL, they shoot as nice as most recurves, better than many, but are still considered to be longbows. How one shoots and what kind of handling one wants in a bow is more important than how it gets tagged. I will say that once one learns how to get a an ASL to work for them, a good one that fits them individually, is very addictive to shoot. I think that some find the allure of an ASL very tempting and then go back to whatever, because they they do not adjust to the bow. Those who have found that groove can tell the subtle difference between them. I have four that have very obvious differences to a run of the mill ASL, at least the difference is obvious to me. Someone else may have ones that fit them and find certain ones to be better for them.