As pointed out long ago when you first posted that "comparison", we have a couple of issues. The first, and most obvious, issue was missed focus with the 5D2 photo. The second issue was the 5D2 photo being lightened 2/3 of a stop more than the XZ1 photo (resulting in the blown highlights). That is, if the XZ1 was at f/2 1/60 ISO 1000, then the 5D2 "should have been" at f/4 1/60 ISO 4000 (assuming f/4 was as wide as the aperture could open, gave enough DOF, and 1/60 was needed to mitigate motion blur). The settings used, f/4 1/30 ISO 3200, represent 2/3 of a stop more lightening (note: "lightening" -- not "lighting") for the 5D2 photo, and thus the lighter blacks and blown portions of the scene.
As you seem to be a moderator on DPR, maybe you can tell me why I had a thread deleted on the Open Forum where I made a one line question. "Why do some photographers use medium format". I was accused of "Trolling". This has earnt me what seems to be permanent "sandboxing".
Many people cannot seem to understand the whys and wherefores, of DPR moderation. I made a complaint to Admin. but got no reply.
It is the case, though I'd have to admit that the system is such that someone with the database permissions and knowledge could bypass the whole forum software and get at them. I think (hope) that's enough to cover any legal responsibilities that we have.
What?! TC misrepresented Equivalence (again) and locked a thread when this misrepresentation was challenged?! Say it isn't so! 😁😁😁
Anyway, let's keep this simple for the PM exchange. People rarely argue the validity of perspective, framing, DOF, and exposure time with regards to Equivalence -- it's always the noise end, so let's just concentrate on that point. To that end, the main disconnect for the anti-Equivalence crowd is two-fold:
1) What is the difference between and relevance of Exposure vs Total Light.
2) What the sources of noise in a photo are.
The problem is, no matter how well explained, "they" simply refuse to change their preconceptions. That is, exposure is the be-all and end-all and noise is entirely a result of the sensor. You can create an extended syllogism (a=b, b=c, c=d, d=e, e=f) and they may or may not accept each link in the chain, but at the end, when you conclude that this means a=f, they go right back to square one.
So, let's create the chain. For most all photography, there are two primary sources of noise: the noise that is inherent in the light itself (a law of physics thing, not a technology thing), called "photon [shot] noise", and the additional electronic noise, often called "read noise", added by the sensor and supporting hardware. The former is typically the dominant of the two sources, and the only role the sensor plays in this source of noise is what proportion of light projected on the sensor is recorded (QE -- "Quantum Efficiency") which is pretty much the same for sensors of the same generation and has been relatively unchanged in the past decade.
The photon noise for a particular portion of the photo is entirely a function of the total amount of light that made up that portion of the photo. For example, if 4x as much light makes up a portion of the photo, that portion will be half as noisy (not including the electronic noise).
The electronic noise matters more in the portions of the photo made with very little light (e.g. the deep shadows at base ISO and progressively more of the photo as we use higher ISO settings to "compensate" for the lesser light). This has a huge effect on the DR of a photo, and the differences in electronic noise between sensors varies considerably more than the differences in QE, thus the greater variability of DR, which we will see when pushing shadows heavily and progressively more and more of the photo as we use higher ISO settings to "compensate" for lower and lower light (typically "significant" past, say, light levels where you'd be using ISO 6400 and higher).
The exposure is a function of the scene luminance, f-number, and exposure time whereas the total light is a function of the scene luminance, aperture diameter (yes, measured in millimeters), and exposure time. It is important to realize that the aperture diameter is also intimately involved with DOF, so, for a given scene and exposure time, DOF and noise are directly related. For example, for a given scene, perspective, framing, and exposure time, f/2.8 on mFT will have twice the DOF and be twice as noisy as f/2.8 on FF because the aperture diameter for FF is 2x larger, whereas the DOF and noisiness will be the same for f/2.8 on mFT and f/5.6 on FF, as the aperture diameters are the same.
If these points are not clearly understood, then further [productive] discussion is not possible, so that must be tackled first in any honest discussion.
the understanding of most photographers about equivalence is DoF, the problem is no one really wants to discuss equivalence practically. i posted 3 images of the same subject with 3 different sized sensors with the same settings and the dof looks the same depth, just with broader transitions. the major difference is background blur and field compression.