In Cat 3 autoland the plane does the approach and landing manoeuvres but the pilot is still in control. Complete zero visibility landing is not allowed. Pilot needs to see something like 50 feet to see the center line and make sure that the plane is in touchdown area. There are also wind limits, almost no turbulence is not allowed and so on.
There's no need to do so since ILS autoland has been a thing for decades and can be used by many aircraft today (from both Boeing and Airbus)
All the 'self-flying plane' has to do is engage the Cat III approach if it is available and let the old and boring autopilot do its thing.
Alternatively, if Cat III approach is unavailable, it can do what pilots already do: divert to an alternate airport.
https://www.flightdeckfriend.com/can-a-plane-land-automatica...