This.
Wait... Why would you need an electric oil pump?
To combat the wear associated with more start cycles. When your engine is running the oil is circulating through the galleries and spraying/bathing your journal bearings, cylinder walls, cam shaft, etc. in oil. When you stop, the oil stops moving and settles into your sump. Some commercial vehicles(I remember hearing that delivery trucks) and tractors have a supplemental pump that keeps that oil circulating to reduce startup wear.
ESS is inactive until the engine is upwarmed up to normal operating temperature. I don't think some 30 second, 1 minute, or even 5 minute engine stoppage is going to drain the oil off of your engine parts to a detrimental point. Its not like it's preforming a cold start.
Exactly! Diesels generally suffer abuse well. Hence, their use in commercial applications. If they thought enough to add re-circulation pumps to protect against wear in a diesel, I'm concerned they didn't include one in an extremely light duty motor that will now run through hundreds more restart cycles. I was really on the fence about buying the Wrangler with a gas motor. I'd have preferred a diesel and if they hit the market in the next couple years I'll be driving one.
Not exactly what I meant. Diesel engines run much dirtier the oil is dirtier and they usually have 1 1/2 to 2 times the oil capacity of a gasser. Since a diesel uses compression for combustion instead of ignition, a start up is harder on the components.
