With art, what value should be placed on the methodology used (see details)?

Assuming it doesn’t affect the end result, how much should it matter if the artist takes some shortcuts? Is there any inherent value in knowing the artist put in full effort?

Consider, as a hypothetical example, two identical looking wood carvings. In one, the artist whittled away the wood little by little with a knife, the traditional way. In another, the artist used a jig saw to form the basic shape and then carved out the details with a knife. Do these two sculptures have different inherent values to you?