Well, to my knowdge they do make 8x56mmR, at least I saw a box for sale at Liberty Tree Collectors. To-day I bought myself a barreled action for a Short Magazine Lee-Enfield. The action is dated 1918 and was made by the Enfield arsenal. It almost looks new and was still greased in cosmoline. The barrel is really good, too, and while it does feature import marks, there is no sign of factory thorough repair. I have traded a 440 round can of 7,62x54mmR and a little cash for it. Now I want to order the missing parts, as soon as I can afford them, that is.
By the way, does anyone want a LSA 1918 Sht. Le. Mk. III, no import marks, with the magazine cut-off still in place? It is in good condition and to my eye has not had any parts re-placed since it's manufacture, even the extractor seems original! The only exception is the trigger guard screw, which I had re-placed since it broke, however I still have the original in a zip-lock bag.