Apparently, the American Optical Corp, made several analogous systems in the 60s for reconnaissance systems. Though theirs was 3″ aperture, 7″ long and ran at f/35.
A friend, keen on cameras, pointed me at this… https://www.photo.net/discuss/threads/vivitar-series-1-600mm-f8-solid-catadioptric-telephoto-lens.5501861/ and said the bokeh put people off them.