Ascend Charlie
I agree with your first statement
The angle of attack will be the same, to produce the same amount of force to hold the weight up in the air. The "half rho V squared S" is constant, the CL is the same.
But struggle with the second because you are contradicting yourself
What HAS changed is the pitch angle, because you need less power to overcome the induced drag.
Yes the pitch angle has change but the amount of lift generated must still be the same as you point out in the first statement as the aircraft still weighs the same. As I remember "induced drag" is short for "lift induced drag" so if the lift generated is the same then surely the drag is still the same. Maybe the answer is in the increased "form drag" of the blade OGE?
Its all just made to make the gray matter hurt lol