Well... This is jazz... I'm skeptic as well, but what if it was some sort of experimental modern jazz where the musicians would try to predict the next click?
You can't predict the next click, that's what random means. This would never have gotten far enough to appear in front of an audience. They would have tried it at rehearsal and realised it was impossible.
It does have a rate though. Each click is random, but overall they're at a predictable rate. Still, it wouldn't be useful for music really. I could see someone trying to make it happen though. I've heard of dumber things.
Well in that case all you've done is reinvent tempo but worse. Unless you vary the rate on the fly, which requires moving the counter and/or radioactive material on the fly. And then all you've done is create a very bad musical instrument.