Units spawned through Zeus will not be persisted. Loadout should persist if you have it enabled via the player options module. Vehicles are saved when you exit them.

Task persistence is currently not functioning.

I think the Data section on the wiki has a list of some things it persists. Profiles and OPCOM commands persist (if enabled).

Zone clearance and enemy casualties persist, but the green/red colored grid which is optional in the C2ISTAR module does not.