I see noise in the landscape picture in the upper left hand corner in the A7R pushed picture.
This landscape picture must have been shot with a Canon camera and the A7R is picking up on the detail of the noise.
LOL. Ironically, yeah, all the landscape pictures were taken with Canon cameras. They do have their problems with noise as well. I could share those, if I could find them...I think some of those were taken with my original 450D, which actually wasn't as bad as the 7D or 5D III at low ISO (again, ironically.)
Well on the serious side.
Lets put this test in perspective to the non technical guys that just want to take good shoots.
You have an A7R and the 5D III in hand.
In the digital age memory is cheap, you just underexposed a shot by 4 or 5 stops. You look at your screen and your review shows black. You screwed up. If it is a picture of bigfoot and he just ran off well you try and push the picture and maybe it matters. But landscapes, buildings and front room chairs do not run away. You take another shot and get it right. So no benefit to DR here. So I look at your pictures and say they are meaningless as far as seeing how I would improve. I know how to delete bad pictures, you just click on the trash button.
However as I said before you have an A7R and a 5D III in hand.
So you go to the park mid day with the sun high, you find the edge where there are a few trees and a lake off to the side. Your buddy goes and stands under a tree, you try and capture the clouds and the lake and you look at your viewfinder and either one or the other blows out. Shade or sky take your pick. Use both bodies, like I said both are in hand. When you get home this shot matters but you want to improve it. You put both shots in LR and you work away. At the end of your PP one will be better than the other. That is the winner for you. It may not be the winner in someone else's hand but it will be in yours.
Real life situations, real pictures those are the ones that matter. That is the test. It is not hard to set the test up real life, we all know why we want more DR.
Underexposing, pushing it up and down, putting the lens cap on in the end are meaningless. End result wins.
Don't believe the results? You say here are the Raw files, decide for yourself.