While it goes off the premise of "fact checking" the book, I would love to have some sort of definitive answer as to when they switched from using the "electric violin" version of the main theme to the Fred Steiner arrangement (the cello theme). The original DVDs don't get it quite right, since multiple people remember The Corbomite Maneuver having the cello theme. Since the theme was recorded in those same sessions, according to the LaLa Land TOS Soundtrack notes, that 10th aired episode would be the latest it was introduced. However, Balance of Terror and What Are Little Girls Made Of were also recorded the same day.
The guys who worked on the CD set couldn't find that information, so I'm wondering if it's listed in the files anywhere else.