I tested with the following components: CV 4n7 and 10k, CC 1n and 10k, R4=3k3, R2=10k. The simulation in LTSpice was good.
The results are:
1. The fast CC (measured on the 0.22R resistor):
a. with output voltage at 24.6V: 0730.jpg
b. with output voltage at 12.5V: 0735.jpg
c. with output voltage at 3.1V: 0740.jpg
2. The output with PSU shorter and 0R load resistance:
a. with output voltage at 24.6V and max current: 0734.jpg
b. with output voltage at 24.6V and middle current: 0732.jpg
c. with output voltage at 24.6V and almost min current: 0733.jpg
d. with output voltage at 12.5V and max current: 0737.jpg
e. with output voltage at 3.1V and max current: 0742.jpg
I think that at 1.c there is some oscillation.
Please have a look at the screenshots and tell me what you think.
Later Edit: I think I found a problem... I will try to solve it.