My friend, you are doing very well indeed! Being speedy and smooth gliding like Clay or Smoke-eater is not really necessary. Just going along taking care and using good practice like you are doing on this excellent video gets the same result once you break in the stones.
Running the cork along the edge that you have seen others do, is simply trying to take off any last vestige of the burr.
Your style really reminds me of me! I am getting up near 80 now and so the old hands and eyes are not as coordinated as they once were, yet I can still crank out a razor sharp knife.
Well done and keep up keeping up mate!
Very best regards 🙂
Leo