According to the theory, men may produce musical instruments from wood because men are the ones who collect the wood in the first place and probably understand its physical properties better.

I believe the answer is: Economy-of-effort

Economy-of-effort theory stated that people who tend to be the best in creating a certain product tend to be the people who had good understanding on the quality and characteristic of the material.
This understanding make them able to determine the most efficient choice (both in cost and strategy) to produce that product.