A classic Potentiometer wants a ZERO-impedance source and a infinite impedance load. Or non-Zero/Infinite with some "error" of rotational accuracy.
This works fine from triode plate to grid, op-amp output to hi-Z input, etc.
When you have a Hi-Z source and Low-Z load, it may work better "reversed". When you have more than two pentode preamps to mix together, our Linear pot will act more "tapered" because there are two actions happening: the pentode is shorted-out, and the mix resistor (upper part of pot) is increasing against the suming node impedance.
The pot-law approaches "square": 50% turn gives 25% output, 90% turn-down gives 1% output, etc. The exact law is rarely square, but often a whole lot more useful than linear, and a penny cheaper than stocking audio-taper pots. If you can design your WHOLE board around one pot-part, inventory is simplified and workers won't put pots in the wrong places. KAY used 500K Lin for everything: Vol, Tone, Trem rate and depth.
It is also possible to gimmick the impedances so that one input full-up has gain of 1,000, but four inputs full-up get gain of 500 each. This mirrors the rule of many-mike PA systems: doubling the number of open mikes takes 3dB off your acoustic feedback margin. You can set the system so one mike full-up is just stable, then turn-up additional mikes and per-mike gain is reduced just about enough to keep the system stable. (This effect may be undesirable in other work.)
Which is what abbey said, without numbers, and generalized beyond zero-Z mixers.
> only 8 channels so the drawbacks you pointed out probably don't matter much.
Teac 3340 and Fender Deluxe use it for just two inputs. For Teac it was the same price as "conventional" pot and mix-resistor, but gave a useful taper on a linear pot. Fender had hi-Z preamps and omitted mix resistors, saved a dime right there (though lost it with a bigger coupling cap). Fender's implementation interacts like crazy, giving some unexpected results when one input is driven and the other input's knob is set to intermediate positions. Funky but extrememely long-lived design.
As TV says, similar "backward mixing" is found inside some guitars.
Ralph is often cited:
'All my best thoughts were stolen by the ancients.' (Ralph Waldo Emerson)
http://quote.robertgenn.com/getquotes.php?catid=228
Has often been used by Don Davis:
'I think it’s a quote from Don Davis of Syn Aud Con: “The ancients are stealing our inventions”.'
http://www.prosoundweb.com/article/ancients_stealing_our_inventions_what_we_can_learn_from_rick_nelson_recordi/mm