In the 2nd scenarios above, you may have to work harder in your woodchopping business, as I'm now competition, but doesn't that mean that the villagers benefit from better access (cheaper prices) to wood-chopping services?
We currently define ideas as property. But is that ethically defensible? Now, if I claim to have originated the ax idea, I'm maybe stealing your brand or reputation. I should have to give credit to you for the idea of an ax, but I don't see how making a copy is theft. Ideas are not scarce; they're inherently shareable.