BTW, most mixers operate at their quietest when the channel fader is at unity, and the mixer main output is set to unity, and you only crank the input gain as little as is necessary. Channel fader and main fader are ATTENUATORS...
That is erroneous information.
First, the lowest thermal noise setting would happen when the Mic fader is turned up high and the Master fader is down low. Matter of fact, this is the way to properly set up a Mixer, whether for live performance or recording. Mic input at about the 70% point and Master Output fader down around the 20% point as starting places.
The faders typically control the negative feedback of an amplifier circuit. This is a pretty clean situation and should be described as something other than "attenuation" when the sig is low.
To call a Mic Sig "unity" doesn't make sense. Will let that pass, though.
Before it starts, all I do is design 'em, after years of experience at the repair bench...
--Mac