This strains credulity. You do not by osmosis learn how to solve the wave equations or manipulate them by playing the Tuba.
What you are doing is connecting related fields however tangential they may be and implying that learning about one makes you learn about the others which is just not true. Let's take a Music Theory student and give them a series of problems from Landau and Lifshitz, how well do you think they will do?
I think that i'm illustrating the point of the author. That every field is connected with every other field. If you start getting into the harmonic series as a music theory nerd, you will be aided by studying physics and chemistry. Maybe your average music student wouldn't but John Coltrane certainly did draw these types of connections.
What you are doing is connecting related fields however tangential they may be and implying that learning about one makes you learn about the others which is just not true. Let's take a Music Theory student and give them a series of problems from Landau and Lifshitz, how well do you think they will do?