That wasn't an outright assumption. I was asking the person if I could assume, because those conditions are necessary for the FF to be clearly superior.
For over a decade my shooting has been 90% the kind of shooting that proponents of more pixels on target = focal length reference, and I have avoided 1.6x crop bodies the whole time (until 7D2)
So making use of larger sensors with larger pixels does not equate to shooting large close objects.
The 7D2 is possibly the first crop body from Canon that has approximately the same read noise "per unit of sensor area" as its best FF cameras of the same time period. In the past, this was only valid with a newer crop vs an older FF. There is also the issue that less people were willing to accept the fact that 100% pixel views are totally arbitrary magnifications, and more people are now willing to compare at the same subject size. The whole idea of comparing a big-pixel FF image at 160% to the crop at 100% (or whatever ratio makes the subject the same size in focal-length-limited situations) was once considered absurd by most people using these bigger-pixel cameras.
I'd like to see the source material that shows all these measurements re noise, as I do find the 5D3 to handle noise noticeably better, shooting side by side.
It isn't given directly, but if you want to get, say, what DxOMark results for a FF camera with images cropped to 1.6x would be, you just lower their results by 2/3 stop or 4 dB, to compensate for the loss of about 40% of the sensor area. For 1.3x crops, 1/3 stop or 2 dB. These 3 sensor sizes are almost perfectly 1/3-stop away from each other. When adjusted like this, the 1Dx is maybe a tiny bit better than the 7D2, the 6D about the same, and the 5D3 slightly noisier, and all 1.3x-crop cameras noisier. That doesn't even factor resolution in, and higher resolutions with the same noise per unit of sensor area allows more NR with less loss of detail like edge locations.
As for banding, this I've not looked into.
Well, most of the ugliness of read noise is due to things like banding. Banding doesn't have to have bold stripes constant across the frame to make noise more visible. It causes chromatic blotches even when the banding itself is subliminal. The 7D2 has very weak banding noise compared to most other Canons - that's why you can crop it at higher ISOs or in low-ISO shadows with a minimum of chromatic blotchiness.
Ahh, sorry I did not comprehend your modifier of a "1.6 crop from 5D3",.. of that I have no argument. But this goes back to my initial point that not all people shooting birds , wildlife etc, are using the body to crop out the center. It's a tool, yes, but it's not going to get the best shot. Ever.
If you can't get closer, it doesn't matter; the larger sensor only helps you if you use all of its area - it is not like a satellite dish, where bigger = more signal; it is like a bigger net that catches more fish - if and only if the school of fish is spread out over the entire net area. If the school of fish is small and near the center of the net, the larger net is not going to catch more fish.