Not really a solution, but an 'observation'
Years ago, there was an electo-mechanical device that used a slow turn motor to turn a spindle that operated cams. These in turn would press against microswitches wired to the electrical items.
I might add the units had no RF suppression, so each time the switch closed the 240V contacts, they would spark and show up on the then RF TV transmissions. Oh for modern technology.
Several years ago, I built a truly random six channel light flasher<(this was the days when you could submit ideas to offline publications, and get paid about $50 per page)
It uses a 556 dual timer, 2x4063 and a 4520 to generate 4 bit "words" which would turn on the A=B, A<B and A>B outputs, (and certain words when they occurred would reset one set of decoders to further randomise output. With 2 channels, it had six outputs, but only two would only be on at any one time. (I've got the final built prototype, but not the schematic, so would have to manually check all the pinouts if I was to publish the circuit)