Not so easy to decide but I would take the image on the right, despite the extra noise in it compared with the image on the left. The image on the right seems sharper and the colours seem a little more vibrant, which in the end I prefer even though the extra noise in the image is not nice. (Given the extra sharpness in the image on the right, and what you have said about optimally processing both images, I assume we are not looking at the same image with more enlargement on the right. If that was the case, it could perhaps explain the appearance of more noise, but I would expect it to be less sharp or at least no sharper.)
That said, looking at the images in your second post, the discolouration/blotchiness in the image on the right is very unpleasant. For that post I might choose the image on the left, even though I prefer the sharpness and colours of the image on the right.
Am I concerned about the differences? Not really. The images on both sides have enough problems (particularly noise) that neither image is something I would be very keen to use. I would be interested to see if there was any noticeable difference if you printed the two images. Based on the first of your posts, I think the image on the right would probably look slightly better, but after seeing the discolouration/blotchiness in the image on the right in the second image, I am certainly not confident about that. (And of course, once we start talking about printing, a whole range of additional considerations come into play, such as paper, inks, etc, so at best I am talking in general terms.)