Okay, let's clarify something about "pointing" vs. "aiming."
If you aim a weapon at a person who is advancing towards you, you won't have time to shoot. Aiming is what you do when you have a faraway target and want a very precise shot. It's slow, and it diminishes your peripheral vision.
When you aim, your eye is focused on the front sight (or on the image through a scope). Many people use only one eye, and close the other. With most scopes, you are only using one eye, even if the other eye is open. Sights made for aiming tend to be very easy to line up with great precision, e.g. square-notch target sights on a pistol.
When you point, your eyes are focused on the target. You generally can and do use both eyes, and you're still aware of what's going on in the greater area around the target. The sights are used peripherally, so you can tell if your eye is lined up with the gun; you also use your whole upper body (with training) as an additional means of doing this. This can be done with a standard M16. Ghost rings are okay, as are buckhorn sights like on a lever gun. Sights made for pointing tend to be less precise, but quicker to line up.
The three sighting systems actually MADE for pointing are ribs, "scout scopes" and red dots. Ribs are most often seen on shotguns, but dangerous game rifles (Express or Guide) rifles have them, too, for the same reason: quick acquisition of a moving target at close range. A "scout mount" scope also allows shooting with both eyes open and focused at a distance, but makes it really easy to see what you're going to hit. A red dot is probably the most sophisticated "pointing" sight, since it allows you to focus on the target while the dot shows you where you'll hit. Some holographic red dots even make the dot appear to be on the target, thus making it even more comfortable for your eyes to focus at distance.
Pointing works best with guns that have good geometry, so that when you raise them while looking at the target, the gun will already be pointed at the target. Guns known for this are the 1911, the Colt 1851 Navy and 1873 Single Action Army, nearly all traditionally-stocked shotguns as long as they fit the shooter, African express rifles, and traditional lever guns. AR's point pretty well, too. Guns that people complain about most include Glocks, because the grip angle isn't natural for many people, so the gun is pointing down when they raise it natually -- though the geometry must work well for lots of others. The point is that overall gun design matters, and the way it fits the shooter matters. If you have to fiddle around to line up the sights, you're aiming, not pointing.
I just want to dispel the misunderstanding that people have about "pointing". It does not mean "guessing and pulling the trigger." It's a skill that must be practiced.
High-scoring clay, 3-gun, Cowboy Action, and other high-speed competitors learn, by practice, to point. They don't aim at close and/or moving targets and win any matches. They become one with the gun, as silly as that may sound.
Pointing is HARDER than aiming, not easier. It's also a helluva lot faster. It's no good at legitimate rifle distances, but we WERE talking about home defense, not warfare. Pointing is worth learning. And you don't know how to shoot defensively is you can't point your gun. You just don't, end of story. The last thing you need to worry about if you can't point your gun is how many rounds you can carry in it! If you aim, you'd better score a perfect hit the first time.
Now as far as the per-shot "penalty" of using a shotgun, again, it depends if you think the scenario will require more than 72 projectiles to handle. There's no penalty unless you HAVE to reload. Chances are, you'll need one, maybe two trigger pulls with a shotgun, if any. And you can "top off" a shotgun, so I think the "penalty" is overstated for home defense. It's something to consider in case of a riot, though.
Do not, however, think a shotgun spreads enough to allow sloppy shooting. The purpose of the 9 pellets of 00 is devastating one-shot stop power because the spread is not at all big at close range. The spread is definitely not enough that you will squarely hit something with a shotgun that you'd miss with a rifle. Either way, the barrel has to be pointing directly at the target, so you need to be skilled in getting it that way, fast.