Potentially it can work but there is a HUGE chance the Destroyers will pick you up in their hydrophones. Don't forget no matter how deep you go they can always run faster than you and they can always reach you with their depth charges. I would have followed a different approach. Stay in periscope depth, go to silent running (if you are closer than 20Km from the convoy, otherwise you can take a few chances) and plot an intercept course. Most probably you will not be able to come really close but if you manage to approach within 4-5 Km you can still cause some damage. I would fire all the torpedoes I can from that distance and then turn back and go really deep. If it is possible fire the "nornal" torpedoes first and then the FAT/LUT ones. That way after the first torpedoes hit and the convoy starts zig-zaging you still have some chances of hitting something with the pattern torpedoes.
Good Luck
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