Amen--consider that even in 3 or 4-section duty, most of the duty section is probably on the barge training or doing other stuff after 1600, with only a few watch standers in/on the boat (MAYBE 5 or 6, including topside.) The fire started about 1730, so unless there was testing going on (possible, but more likely they were doing dinner on the barge) there would only be duty section folks on board.
Word has it the fire started in the Torpedo Room and spread to the hull insulation, which is why it took so long to put it out. That stuff burns HOT, smoulders, and puts out some nasty-assed DARK smoke. Watchstanders in Maneuvering were in Scott Air-Paks. The Navigator was one of the guys injured when he fell down a hatch (there are a few besides the normal ladders.)
Personal experience--when I was on the Holland, the NSF (Nuclear Support Facility) was immediately forward of one of the Engine Room spaces. One night as I was RCSS (Radcon Shift Supervisor) I noted paint smouldering and bubbling on the bulkhead between the NSF and ER. I literally hammered on the wall and yelled at them to stop and directed the NSF Watch to get a fire extinguisher. The dipshit doing the welding 1--wasn't supposed to be doing that, considering any changes to nuclear facilities or spaces adjacent to them takes NAVSEA 08 approval, 2--figured that a fire watch wasn't necessary because it was on "his" side of the bulkhead, 3--couldn't find a radworker qualified guy to be a firewatch anyway.
Needless to say, after the Ship's Duty Officer and I got through with him, and the Radcon Officer got through with him, then the Repair Officer got through with him, he had about 1/10 ounce of ass left.