Perhaps one way to clarify the way that the disk is controlled by aerodynamic forces, rather than precession is to remember that some Kaman helicopters had trailing edge control surfaces, rather than push/pull rods at the blade cuff.
The blades fly to their new position, as required by the pilot. The rest of the helicopter follows them.
I regularly argued this with the late Lu Z. He was convinced that the forces put in by the pilot precessed "the gyro" of the rotor disk, ignoring aerodynamics.