George, the "timer" and fact that there is an inspector there in the first place seems to indicate this is a permanent installation.
Storables are the ones you blow up and the equipment is typically just sitting there on the ground, connected with hoses or hanging on the pool wall.
These things have 25' cords by listing.
The code deals with them as simple portable equipment like an electric drill or weed whacker. Any GFCI outlet will do. The safety is built in the "storable pool pump/light" listing. (double insulated and such)
I recently got into this storable stuff a bit and it is a different breed of cat from "permanent" pool stuff. The call is as easy as simply reading the pump label and the labels on the pool. The equipment is mutually exclusive. You can't use a permanent pump on a storable and vice versa.
I suppose you could install a "storable pool" permanently with permanent equipment, by meeting the 680 Part II rules, but it can't go the other way.
