"This would mean that there would have to be a 37.5 volt total voltage drop across the 10 points. A circuit with a 15.6% voltage drop is not a properly functioning circuit."

Exactly. Even if you were to get rid of this "obscenely large" drop in voltage due to heat (I^2R) losses, the resultant voltage increase will just result in more power consumed by the underfed loads. So where would the gain be if there was one?