Re Centrifugal force:
If centrifugal force is a non-force and it does no work in the rotation of the blades the helicopter would never get off the ground. The centrifugal force balances out the lifting forces on the blades and as such establishes the cone angle. The cone angle can also be effected by gross weight and air density. Without centrifugal force acting ion the blades the blades would achieve a very high cone angle and the helicopter would be sitting on the ground with full collective applied. If in flight centrifugal force could be removed from the equation the blades would cone up and the helicopter would crash. This can also be manifested in low rotor RPM that equates to lower centrifugal force.
Let’s say we remove one blade in flight and in doing so we remove its’ contribution of centrifugal force. The imbalance would be immediate and the rotor system and transmission would immediately depart the airframe.
It’s is very nice to refer to engineering texts as a frame of reference but you have to understand that the author is making his own point and then he is creating the mathematics to describe the condition. However this situation would never be encountered in real life. While in school it gives you the ability to envision various situations but once you leave school you should close your text books and do it the way your employer tells you to do it.