That's the question. Whoever it is, is about to land.
No, calling the ball is for the carrier, because you are flying off the fresnel lens on the side of the ship. ILS is precision instrument flown by the military and civilian aircraft. You just need a normal clearance to land. You don't have to look at a lens on the side of the runway when flying an ILS approach. You fly off your instruments inside the aircraft.
Naval pilots can still fly an ILS-like approach to the ship. They still call the ball at 3/4 mile before landing. This may not be the case though in extreme weather conditions when the ball is not visible. I don't remember for sure.
Yes, there is ILS-like guidance that can be flown the carrier. You still call the ball at 3/4 mile if it is visible.