I think everything you said is correct..in how to handle the hung start...but
Here is the scenario I get in the sim all the time...
Hit starter button, wait for N1 8%(for instance) it sits at 4%, you never introduce fuel, hence no engine issues,.now your just motoring a starter. Hit starter disengage...
That's a hung start.
Hit starter button, at N1 8%, you introduce fuel....temps increase ... go way up...fuel cut off, motor starter to reduce temps..then disengage starter
That's a hot start
Hit the starter, normal start but the starter light is on, never disengaged...so you disengage...button, CB, battery...
Am I missing something here?