Imagine handing your CQ-20B over to a volunteer sound guy, and he decides it would be cleaner to mute the Clicks channel rather than simply leave its fader at minimum. Suddenly, all the musicians lose their click!
Why does muting a channel on L/R also mute it on the Aux outputs?
It sounds like your volunteer(s) require some specific training on how you have configured, and use, the mixer desk?
With a different mixer (we have an SQ7), you can have direct outs from each input strip, so we can feed a click track directly to the music group that bypasses all of the mutes on the desk.