You've described the "function" of a station blackout adequately in a legal sense -> But, big "but" this is a nuclear station where the "regulation" terms used by the nation's agencies define policy and requirements. Then designs and procedures must be made based on the "definition" chosen, not by reality or the effects of three or four mutual "unforeseen" common catastrophes.
A station blackout happens when there is no electrical power available inside the transformer yard. A station brownout happens when there is insufficient reliable power of the right voltage at the right capacity capable of running for the right amount of time inside the fence.
Make sense?
You can write elaborate definitions of a station blackout all you want, but if you didn't anticipate an earthquake wiping out the regional power, a tsunami wiping out the plant's backup power, backup fuel, and backup power distribution network to pumps and equipment; and the plant itself is automatically being shutdown by a Cat 9 earthquake, then your plant still has no power.
If the pump you need to run needs 4180 volts, but you have only a generator trailer putting out 440 volts, you still have a station power problem - regardless of whether you call it a station blackout or a station screwup or a station problem.