"but we can't get a straight answer about what they may be doing."
This would lead me to believe the TO tried that approach already.
And btw, any Gyro that takes more than a few minutes to spin up, IŽd have removed for repairs. Typically in a PL21 equipped KA, it takes something like 2 minutes after second startup to be ready to taxi, if you`re slow. (and not training or troubleshooting)