Knowing the self-sustaining speed of your engine can be quite useful, although as manufacturers are increasingly reluctant to provide any technical details to aircrew, these numbers might be difficult to come by.
Another thing to consider is that, unless the external power is still plugged in, only battery power will be available, which might lead to a limited number of engine instruments available to monitor the start.
Selecting fuel off will certainly prevent a hot-start, or any start for that matter.