I saw Ashley Harwood demo some years back, and she would only sharpen on the left side. I found that funny/strange. With turning, all actions are done with the body. I do tend towards being ambidextrous though so maybe easier for me than for others. I do like to keep my Big Ugly tool on my right side with my left hand by the tool rest. I did try it the other way and found I was not as comfortable with it. I guess it just depends.
I have found my Tormek useful again since I started stropping my skews. I have some pieces of plywood with stropping material on them, some pieces of poplar, alder, and some kangaroo leather which compresses less than most other leathers. I did see one from Bernal Cutlery in San Francisco that is cork with green chromium oxide on it. I really like it for my kitchen knives. Strangest stropping material I ever heard of was balsa wood. After thinking about that, I think it might be ideal for carving chisels since you could make it conform to any shape. One guy on You Tube, I Sharpen, swears by kangaroo tail with no compound. To demo how sharp his knives are, he slices cigarette papers. I was impressed!
robo hippy