Certainly looks like a typical AMC box as fitted to a zillion Matchless and AJS from about '57, and Nortons of all sorts of course. A neat graft!
Maybe the conversion was to cater for a damaged right ankle or something, or maybe someone just preferred it that way. Nicely spaced ratios in most of the AMCs (I think anyway) but absent an expensive diaphragm clutch, preferably with belt drive, give me the Beesa 4 spring job any day over the 3 spring AMC one!