Awesome! I'm impressed you found the exact driver that they're using. How did you do that?
Well, I have found information on Optrex 323 display which is different, but same manufacturer and it uses SED1531 driver. When I searched for SED1531 driver I got some suggestions about SED1530/SPLC501C as I understand they are the same or very similar, has few additional functions. And bingo, the codes I saw in logic analyzer matched the codes in documentation.
So the goal is to make translate the default commands to drive another display?
First goal would be to intercept signal - to read data pins which are sent from radio with arduino/stm32 and write them to display. Then to try to add additional information on display since radio is connected to CAN BUS I can read a lot of useful information about car and display it.
Second goal would be to use another display, but this step is challenging, as I would need same dimensions display or to 3D print radio front panel, but I have no experience with 3D printing...