I am most often told that the pilot's guide is a guideline,
You won't find pilots telling you that.
However, I'm assuming that the full 50 degrees of flaps somehow help aid in lift-off at least on carriers?
Many aircraft use full flaps to shorten a take off. This is not the same thing as using full flaps to improve turning ability.
I use full flaps for STOL take off's in my airplane. It's not good for the plane or the engine but you can do it. It is expressly authorized and the instructions are given in the POH.
Turning is a different condition of flight. Remember our coefficient of lift is reduced in a climb and a portion of thrust will offset lift.
In a turn we need to not only provide lift force to offset weight but it has to meet the force required to offset centripetal force.
Full flaps are used in some instances for turning too! If you take a mountain flying course, you will learn and practice "canyon turns".
This is an emergency procedure done preferably from a cruise flight condition where you find yourself boxed in by terrain. You pull the aircraft up and bank into a climbing turn. At the top of it, add full flaps until you reverse 180 degrees and pick up speed.
The idea is not that full flaps improve your turn over other configurations. What gets pilots killed in mountain flying turns is speed. Radius is a function of speed.
Look at the chart again and compare both rates and radius:
Minimum Radius of Turn
We don't care if our rate of turn falls well below our best turn and it takes us all day to turn 180 degrees. What we care about is shortening the radius so we don't hit a mountain. Without the flaps, our airplane's rate of turn would be much better and we would make the 180 degree in much less time.
Because of our speed <cruise condition> we have too much speed and our radius will be much larger. The flaps allow us to lose the speed and make our turn with a smaller radius.
That does not mean that full flaps will show a turn improvement in fighter aircraft.
Look at the Buffalo turn test and let's do some math. The arrow's point to the data points used in the calculations.
Here is the sustained envelope with no flaps at 13,000ft:
Here is the sustained envelope with full flaps at 13,000ft:
Using the BGS system:
Radius = Vk^2 / 11.26 tan<a>
ROT = 1091 * tan <a> / Vk
Angle of bank = arc cos <a> * 1/Nz
No flaps, Nzmax turn at 140mph
Radius = (140 * .869)^2 / 11.26 * tan 63
r = 531 ft
ROT = 1091 * tan 63 / (140 * .869)
ROT = 17.59
20.5 seconds to complete 360 degrees
Full Flaps, Nzmax turn at 140mph
r = (140 * .869)^2 / 11.26 * tan 57
r = 854 ft
ROT = 1091 * tan <a> / Vk
ROT = 1091 * tan 57 / (140 * .869)
ROT = 13.8 deg/sec
26 seconds to complete a 360 degrees
The aircraft with full flaps is at a substantial disadvantage.
Stall boundary turn at Nzmax with no flaps
r = (115 * .869)^2 / 11.26 * tan 57
r = 576 ft
ROT = 1091 * tan 57 / (115 * .869)
ROT = 16.8
21.4 seconds to complete 360 degrees
Stall boundary turn at Nzmax with full flaps
r = (85 * .869)^2 / 11.26 * tan 48
r = 436 ft
ROT = 1091 * tan 48 / (85 * .869)
ROT = 16.4
21.94 seconds to complete 360 degrees
The turns are for all practical purposes are equal. Rate being the most important characteristic of a turn to a fighter, the aircraft without flaps has a slight advantage.
That is the effect of dropping full flaps. Your radius will decrease but your rate is increased because you have less Power available.
You can check the math easily with a universal turn chart. Remember all aircraft at the same angle of bank and velocity will make exactly the same turn. Even a Corsair and a Spitfire Mk XIV!
All the best,
Crumpp