Fascinating write-up Ben, who would have known that you were a genius with image processing as well as running containers :-) Love the gory details and I didn't know about pyfakewebcam either. Do you have a live video recorded showing how quickly it can process a stream?
IIRC it's something like 10FPS currently which is sufficient enough for meetings so far (about 1/3 what you might get with sufficient bandwidth in most video conference tools).
There's definitely room to improve it.