I bought a really old fully mechanical (and automated!) mini bowling lane. It works without a CPU, except for the score display, which originally used a 1970 Intel D8749H (MCS-48)!
Just like yours, the only thing that turns this machine on is a single relay :D On my model, I also get feedback on the pin status and a "ball received" signal, so I can trigger the scoring.
I dumped the firmware and replaced the display PCB with a more recent DIY PCB with an Arduino that speaks a modern, documented protocol. It's now compatible with ScoreMore software, and I can do a lot more with it.
Here are some pictures and more info on the Bowltech forum (you should post your stuff here too!):
* https://www.bowltech.com/forum/small-scale-bowling/small-sca...
@vik8 on discord if you need :)