Yes it does carry over. Aside from some user programmable convenience options in the display's firmware/software, the display simply uses the same data available to the tiny front panel display. Not visible in the photo I included in my reply above, is the original CS800 front panel that was installed in my Toyota Camry at the very bottom of my center console. Not only was is difficult to reach and read, it blocked the ashtray and cigarette lighter from being accessed.
The three radio bodies are under the front bucket seats, and I've deliberately left the programming cables installed on them. I can quickly reach them for re-programming from my laptop without having to remove them from where they're installed.