Mark, I see it this way.
When you use a spot meter, you let's say measure the highlights, read the value, place this 3EV above middle grey, and you know it's going to land, in the film curve, 3EV above middle grey. No matter how contrasted is the scene, you know where that spot lands on the film curve. You also use the spot meter to "scan" the scene and see where other parts of the scene "land" on the film curve. You'll have an idea of where shadows will begin to block. But you will know that your highlights will not burn (supposing you know that in your film 3EV above middle grey give the detail you want).
Now let's imagine you use an incident meter. An incident meter, whatever you put in front of it (disk, sphere, or any other contraption) gives you an exposure that is:
- certainly right for a middle grey object;
- certainly right for any other darker of lighter object, provided that they fall within the capabilities of your film.
The normal way of thinking is that, when you use incident metering, everything will fall right on film: grey will be grey, dark grey will be dark grey, bright white will be bright white. And that's true, until you reach the shoulder and the toe of your film. In shoulder and in toe you will have less tones, less "description" of the subject. After that, you will have blocked shadows and burned highlights.
When you take a picture of, let's say, some flour and you want to maintain the flour texture, if you just use your incident meter you place the flour on the upper part of the curve. You might have a very flat rendering of the flour. If you want the "texture" of the flour to be more visible, you close the exposure a bit so that the flour is described by a "more linear" portion of the film curve. The same for the black cat on a coal carpet (you open this time).
Dome, disc.
We saw that when using a spot reflected meter, if you know the film curve, you know you will have no surprises on where the highlight fall.
When using an incident meter on a very contrasted subject (as in the case of extreme lateral lighting of the OP), and pointing the dome toward the camera you are averaging the luminous side and the dark side. Whatever this average is, it is not guaranteed not to burn your highlights or to place them where you will have enough detail.
If your goal is, as in this case, not to burn the highlights, you don't care how dark shadows will be and you don't want the shadows to skew your calculation. An "average" makes sense only until you know that all your subject is contained in the film curve. If the film curve is not broad enough to contain all your subject, "averaging" might just lead to have both blocked shadows and burned highlights. You place the center of your blanket just over your navel, and you have both your head, and your feet, in the cold.
In this case, you point the dome toward the light source, so that you know that your exposure will be right in the sense that your highlights will not be burned.
The rule of thumb is:
If the subject range is within film dynamic range, point the dome toward the camera. It will nicely average the light values, and you will place your exposure where both highlights and shadows will be correct.
If the subject range is larger than dynamic range, forget about averaging. Choose what you really want to salvage. If it's highlights you want to preserve, point the dome toward the light source, so that you'll be certain that you will not block the highlights.
IMO
Fabrizio