I just watched the video. I've always been a fan of Ray Mears, but I've never seen this video before. I haven't been let down, Ray has great technique for sharpening.
One thing about the base camp/water stone sharpening is he is sharpening a Scandinavian type blade. The Scandi grind has a single sharpening bevel on each side, all the way to the edge. Like a wood chisel, just both sides. Scandi's are usually a laminated steel, with the center core being much harder than is typical of most blades. Scandi's are sharpened like a chisel, he is laying the whole bevel on the stone and sharpening. Scandi grinds are much more popular in Europe and not so much here. Probably because you're sharpening the whole bevel, it makes the blade "ugly", you lose the nice polish. The harder center core and working up the slurry like he does also tend to minimize the burr.