So correct me if I'm wrong...
A. If transmission is in neutral and clutch is not depressed (pedal out), the TOB is not spinning. Pilot is not spinning as the flywheel and transmission input shaft is spinning simultaneously... Therefore, input shaft bearing is spinning
B. Clutch depressed (pedal to floor), TOB is spinning, input shaft isn't while pilot bearing is.
C. Transmission is in gear and clutch is not depressed (pedal out), the TOB is not spinning. Pilot is not spinning as the flywheel and transmission input shaft is spinning simultaneously... Therefore, input shaft bearing is spinning..
The chirping noise is prevalent during scenarios A & C. Similarly to
@Farmergreg , a slight press on the clutch and it goes away. I might try to remove the actuator and press on the clutch fork a bit to see if in fact there's not enough pressure when clutch is not depressed.