changing the fuzz pot on a Fuzz Face

[mordechai]

I can see how the "Mayer mods" yield more volume output from a FF circuit by upping the 470R resistor to 1K...it seems to me though, that by "doubling" the Fuzz pot to 2K along with the relative doubling of the 8.2K resistor to ~18K, the gain characteristics of the circuit seem fairly consistent.  I've tried this and the altered circuit doesn't seem to have noticably more gain than the standard 8.2K/1K pot circuit.

In a few recent online comments, though, I've read that changing the Fuzz pot to 2K WITHOUT changing the 8.2K resistor does increase the gain.  Is this indeed the case?  If so, why?