"The universal requirement to use of deadly force is that your life must be in immediate danger. While the guy is on the other side of the door, you are not in immediate danger. "
That is not true, in some states the fact he's on the other side of the door meets the legal requirements for self defense.
NC has the castle doctrine, if a perp has broken in your house, car or work place, he's subject to be legally shot, regardless of what he's doing. He is presumed by law to be a threat to you by virtue of his having broke in.
Quote from lawyer's interpretation of the law:
The law presumes that "a person who unlawfully and by force enters or attempts to enter a person's home, motor vehicle, or workplace is presumed to be doing so with the intent to commit an unlawful act involving force or violence.
The apartment example is fine, but not all of us live in apartments or in the city. I live in the boonies, my child is at college. If someone's banging on my door, it's not the Easter Bunny.
I shut my bedroom door, others don't, whatever, I do not care. Odds are, I'm not going to be the one defending you if you need it and vice versa, think it through and do what works best for you.
I agree with the theory that you need to be sure of what you are shooting at, but, as with any theory, there are always exceptions. If you want to wait till you see the whites of their eyes, suit yourself, I'll shoot when I think it's appropriate.