
to NICO!
Gotta love that kind of diagnosis... "why don't you throw $1400 at the problem, but if it doesn't fix it you're SOL"
Check out your car's factory service manual, available at
www.infinitiservicemanual.com
It goes in to a lot of detail about the NATS system, and what the security indicator lamp should be doing at different times. All of this starts at page EL-458. It does seem curious that everything worked fine with your old keys. There is a "lock mode" that comes in to play if someone attempts to start the car with an unregistered key more than 5 times, but the dealership technician should have seen that with Consult during the diagnosis.
I think I would get a second opinion... where are you located? Maybe someone can recommend a lock smith with a Consult, or a good senior tech. that has experience going back to when that car was newer.