Personally I don't see any advantage (but I do see lots of disadvantages) in 'splitting' for a wedge as opposed to cutting of a groove. You have control over the straightness, depth and direction of the kerf when you use a saw and you can mark on the wedge (presuming this too originated from a saw cut) the point at which it will bottom out. With a split you have nothing except for a fervent prayer that the haft fits snug enough not to see the split carry right on through into the haft as the wedge goes in. Folks drill relief holes at the end of glass, steel, fiberglass and iron cracks to keep them from extending further; a saw cut kerf is/does exactly that if the wedge tip is trimmed/blunted to be equal thickness of the kerf cut.
The inventive nostalgia concept of split-generated kerfs and split-generated wedges sounds creative-exotic enough but should not to be considered an improvement. Pioneers, farmers, lumbermen etc, at very least, had some form of handsaw in their kit.
Soviets used a hammer and sickle to glorify their socialist philosophy but north Americans could have crossed an axe and a bucksaw (or better yet a horse-drawn plough) equally well to represent theirs. Wood saws were late-comers in the forestry and forest clearing business because 'live' wood is wholly different from 'dried' wood.