OK, let's say that the rotor system IS a great big gyroscope.
Here comes a helicopter, hovering over a hill. The pilot noses into the slope and touches down on the toes of the skids, and does nothing to the cyclic as he allows the machine to settle. The heels, being unsupported, sink, taking the rest of the aircraft and the disc with it. But a miracle happens!!
Instead of the tail going down and the nose pitching up, the aircraft rolls RIGHT!
He is puzzled, so he lifts to the hover again, puts the left skid uphill, and touches down on the left skid. Again, he allows the machine to want to settle to the right, but it pitches nose down!
Hmm...
Does this really happen?
NO!!!
Because?
it is not a gyroscope