It wouldn't be starting from cold. Maintain full pressure until the last minute, and switch off your burners only once the haulage electric has attached. A well-insulated modern boiler could maintain most of the pressure and temperature for a long time, certainly for 30 to 60 minutes, bearing in mind none of the stored energy would be used for traction during the tunnel transit. The DLM modern steam rack locos on the Brienz Rothorn railway rely on that concept for day in day out operations, and if they need to start an extra one from cold (assuming someone remembered to leave it plugged in!) they can remotely switch on an electric preheating unit that can allegedly attain full running pressure in a few hours unattended. No 3AM starts to prepare and light fires, no ash, and only a little soot to clean up with automatic light oil firing that can be operated by a single crew member in normal service.