Granted I won't know if it's accurate, just interesting if the projector ever goes out and parts aren't available, you can use another projector

That is interesting, and re accuracy, I assume there might be a parallax error, but, as the cameras are only seeing the patterns projected over the object, if you sit the projector over the other vertically, maybe when you calibrate it, it would self correct.
I did take my cover off and the projector unit is pretty well integrated with the cameras, and although your system works, it might be best suited to turntable scans aka fixed scanner positioning, as it'd be a heavy lump on the end of a tripod boom with a separate projector strapped to it.
Mike