Is it one of these?
https://elektrotanya.com/blaupunkt_san_diego_dj31_sch.pdf/download.htmlIf it is you can download the circuit diagrams from the link on that page.
It looks like the processor on the faceplate (Page 24) is only used to interface the various front panel keys. Communication with the main board is over an SPI (Serial Peripheral Interface) using 4 pins - MISO, MOSI, SCK and CE. However the on/off function has it's own pin - Pin 8.
It looks like on the main board pin 8 comes in on page 19, but goes straight off again to the power supply page. I think that's page 8, and comes in on the bottom left corner. Couple of transistors there (V2054 and V2051), and what looks like a thermistor (R2051). That's where I'd start poking about.