usually essential and non essential supplies are there to keep essential service live, in the event of mains failure.
In a power station i was working on recently, the essential supplies were for things like, emergency lighting (also had batteries, to cater for the few secs before generator kicked in), motorised valves (also had UPS for same reason as last), chemical showers and switchgear(400kv).
Non essential supplies wre for things like power sockets, non emergency lighting, street lighting, rollershutter doors.
so when the power fails, the backup generator kicks in, but takes a few secs to power up to full load. In the meantime anything that is safety critical is kept going by UPS, either in the form of localised batteries (Em lighting) or a central battery room (motorised valves).
The reason they dont have everything on a generator is because of cost. by reducing theload on the genset, it saves on the initial costofthe genny, and the cost of the extra cabling and switchgear required.