I understand this is a purely theoretical discussion and not likely to apply to anyone, ever.
On that note, I am not sure if the airplane will have a better FPM at Vx or Vy, so I'll concede that.
What I am really asking - and the original point of this post is that the chandelle is a maneuver which is designed to incorporate a 180 while trading
all of your airspeed for altitude. You finish the maneuver with the stall horn squeaking.
It appears to me that I could get a few extra feet out of the cessna if I deployed 10 degrees of flaps when passing through Vx, on my way down to stall speed because A; the airplane will climb better with 10 deg of flaps at that point, and B the stall speed will be a tad lower, so I can stretch the climb out just a smidge longer.
^ Do you guys agree or disagree with that?