Do rotary wing craft have the stability to preserve their angle of attack?
Consider what happens to a plane that flies level and steady, then loses thrust. It continues to have drag, so the airspeed decreases. Decrease in the square of airspeed at constant angle of attack causes decrease of lift, so the craft accelerates downwards. Once the craft begins to descend, the angle of attack is no longer equal to the angle of attitude - it increases and causes increase of lift.
However, the plane has a horizontal stabilizer - tailplane or canards. This reacts to changes of angle of attack by creating a torque changing the pitch angle of attitude. The craft would drop nose - and the lift would acquire a forward component until the forward component of lift equals the drag. By the operation of the horizontal stabilizers, the plane would transition from level flight to descent while the trimmed angle of attack and speed of the craft would remain unchanged - though the transition would also excite the phugoid oscillations in pitch.
Now consider a rotary wing losing thrust!
The wing would slow by drag... square of airspeed would decrease... the craft would accelerate downwards... the angle of attack would increase above the angle of attitude...
But is there any stabilizer or feedback capable of changing the angle of attitude of a rotary wing in response to changes of the angle of attack?