But that's not completely true, because a person who only knows how to dig with their hands still only digs one hole a day, even if there's a shovel just lying there. Knowing how to use the tools does in fact make you a more productive worker.
It seems to me, then, that part of the gain from the productivity from better tools should go to the worker who knows how to use the tools. And part should go to the person who bought the tools.
This is why Adam Smith, for example, cites labour as the primary factor of production, followed by land with capital as the last. In modern parlance you might hear that said as "human capital is the most important", but human capital really is a politically correct way of saying "labour potential".