Use the mixer upside down… hahaha. Actually that’s what a patch bay is for. you can get one relatively cheap. The cabling gets expensive if you have more than a few channels.
You might be able to achieve this with some digital mixers. A lot use a matrix mixer for their routing. Maybe with MIDI you can get control.
Is your concept a dsp mixer or a digitally controlled analog mixer?
Seems quite similar to some of these new mixing boxes that are mostly minimal but with an ipad to control.
That is true, but a mixer is more of a tool. I stand behind one almost every day and rarely do I feel inspired. It is wonderful for combining signals of a few mics, computer outputs, synths, guitars, and anything else. If you have a nice one, you have a ton of different ways to combine and send this signal around.
Lee Scratch Perry and the Scientist do interesting things with it because they are playing the mixer. They essentially created remixing and DJ’ing as we know it. If you are actively playing and creating your music, you can’t even spend that much time “playing” the mixer. Nor would I want to.