I have a Conways clutch also and I had issues
I have a Conway's/Honda clutch in my Comet and was plagued with clutch sticking issues. I finally was told the solution by the technical staff at EBC who make the friction plates. They told me that new fresh ATF would work fine but just after a few heat cycles (around 100 miles of use) it will start to form a gum and that is the cause of the sticking. So their emphatic advise was DO NOT USE ATF! They advised the use of a motorcycle specific transmission oil, intended for use with wet clutches. Since then I have been using MOTUL Transoil 10W-30 and over the last 5,000 miles have not had a sticking issue with the clutch.I very much doubt that the blame could be laid with the Honda clutch itself. I am sure in its correct environment it would function perfectly, perhaps you should look at other factors, the amount of lift being provided or the fluid that it is running in, or the Burman box itself. Perhaps the shortcomings are unresolvable, but I doubt it.