I am not an expert (or a fan) of fuzzes, but it sounds a bit like gating which is just part of the design of some fuzz circuits. On some transistor fuzzes, as the signal level starts to drop, the transistors go into cutoff. I have no idea how op amp fuzz behaves.
I would try the 22u cap, as it looks like it's just used to filter out the DC offset before the signal hits the output. 22u should work for this. But there is a chance it's just part of the design.

Are you building on breadboard or soldered? I always like to breadboard unknown circuits like this to see if I like how they sound.