I don't think the serial control interface goes over LVDS, the video data goes directly from the OV chip to the serializer, the PIC simply can't push all of that data, and the serializer on the other hand knows nothing about the OV chips configuration interface, so it wouldn't know how to interleave that.
That leaves the PIC. From the pictures on page 30, it's pins are exposed, and while the firmware on it will be protected from reading, it could be possible to just reprogram it (1) with a firmware of our own making that supplies the same configuration as the original (as learned from recording the data exchanged on it with a logic analyzer or a small uC, it's just a very slow serial interface) plus flipping the image. Now the PIC used here by Tesla seems overkill for just supplying a fixed configuration at startup, but then again it has no connection to the outer world (the touchscreen) or any insight into the video data so it can't really be dynamically adjusting things.
1: there might even be test points on the board that go directly to the PICs programming interface, but it's not possible to see that from the pictures.