The only people I have ever met that had worked in both were contractor radiation protection technicians.
You are spot on about the lack of cross over. Dad was loaned out on occasion to the DOE by both Carbide and Martin Marrietta for fire protection and safety projects. I do believe Dad included himself in the “idiot” description as he lacked formal engineering education. His main beef with the nuclear industry was that the various training, inspection and safety shortcuts the various contractors implemented over time in the name of being the lowest bidder. The guy was not perhaps the brightest bulb in the business, but he was a stickler for detail and loyal to a fault. He carried his slide rule and pocket protector to the very end.