Your overview of the firefighting procedure is very good, IF the ship is underway. In an overhaul environment, all bets are off. The crew is usually not berthed on the boat and the only crew members (forward that is, the nukes have their cold iron watches as well) may be the topside watch and the below decks watch. Ship’s ventilation may well be in various states of disassembly and ventilation is usually provided by shipyard supplied Red Devil blowers. Prayers for the crew and yardbirds involved.
In port, the crew will respond to the fire immediately, and as soon as the shipyard firefighters arrive, we turn it over to them.
Yes, prayers for the crew....