Skeptical about CoolSculpting. Does it not work on some people's fat?

Does it not work on some people's fat? I did a test area my Left ring finger with a frozen ice pack used for fingers to alleviate arthritis pain. I went full force and put it on and kept it on for an hour ( swapped out for a fresh one after a half an hour) and gave myself serious frostbite. 3 months later there was no change. repeated the process inc. frostbite and still no change.