No. The point I am trying to make is that while the area difference have implications of exactly the kind you indicate for photon noise, it does not have such implications when it comes to read noise and thus DR and shadow noise. This is an important point since it is usually missing in standard dicussions involving cross-format comparisons.
Yeah, but neither position is fully right. One cannot solely look at photon shot noise in the darker areas but only looking at read noise is also incomplete. Bill Claff has reported that for several cameras he studied, using his definition of DR, the photon shot noise was higher than the read noise in his cut-off lower end (one being higher does not mean the other is irrelevant). Essentially, the only relevant comparison is that of full SNR curves like the one Marianne has produced:
http://forums.dpreview.com/forums/read.asp?forum=1021&message=40756917
I am not saying you shouldn't look at other things. Rather I am saying that DR is my preferred simplification, if I have to choose a single one.
What Bill reports is due to the special definition of DR he uses. The higher you set the noise floor, the more photon noise will dominate on all levels of the remaining dynamic range.
Consider the discussion between Great Bustard and me to which I link below:
http://forums.dpreview.com/forums/read.asp?forum=1041&message=41640150
As you can see, I show that for the GH1, which happened to be the example one of us picked, when used at ISO 3200, the point at which photon noise becomes more important than read noise is only 4.8 stops down from the clipping point and 2.7 stops above the noise floor as conventionally defined, i.e. a point well into the midtones rather than the darkest shadows of a normal image.
Further, I encourage you to perform the following experiment. Compare, using the DPR "compare RAW" tool, some cameras tested by DxO that differ significantly in terms of high-ISO sensor performance. Establish how large the difference is in ISO terms, i.e., try to find a pair of reasonably high ISO settings (one for the better camera and one for the worse) such that the images are of approximately the same quality as far as noise is concerned (where I am sure you will find that the noise is most bothering in the shadows).
This may be complicated by the fact that the sensor resolution varies, so try to the extent possible to keep that factor constant or to somehow take it into account. Ideally, one should do here what I did in my D800 versus E-M5 comparison posted above, i.e., process identically from the RAWs in both cases and keep final display resolution the same. But that requires a bit of work.
Note how big the difference between the two ISOs is. Now go to DxO and check the difference a) in "sports" scores and b) in DR at the same ISO within the relevant part of the DR curve. When looking at the DR curves, you might also want to check how close the DR is at the two ISOs where you found the two cameras to show roughly the same noise level. Repeat for at least a small sample of camera pairs.
Then tell me which of the two DxO differences better match the difference you found by looking at the images. I am pretty sure that you will find, as I have, that the difference in DR better matches your perceptual impressions than the one in "sports" scores, and that the DR at the two ISOs where you found the two cameras to be roughly the same is roughly on a par.
Obviously all three differences (the two in DxO numbers and the one you found by looking at the images) are likely to be in the same direction so that's not the point here. The point is the magnitude. How big is the difference measured in these three ways and which pairs of measures are better aligned with each other in that regard.