As I mentioned in my initial post, the AF goes dead in three instances. 1. When I switch on the camera (has happened once so far),
2. when I try to focus (AF-ON or release button), 3. when the camera is hanging idle (but on) from my shoulder. There is no probability that I am touching (even lightly) the lens release button, because of the way I am holding the camera (my left hand below the lens). Besides, I tried to touch the lens release button out of curiosity and see what happens. I had to apply some pressure, not just touch it, for the AF to go dead.
I am still waiting for an answer from Nikon. The problem is not common. Very few instances have been reported on the internet.
Again, it is a bit perplexing that the QC sample from Nikon presented the same problem.