Although high-def video most often is used for blue screen shoots, director Zack Snyder and Fong shot on film. "We wanted the film grain to show," Fong said.

I guess it is quite subjective, but what makes the second one look better to you? For me the first one, whilst chalked with noise/grain, has a much better rendition of the skin-tone, along with detail in the highlights, and the depth of the reflection in her eyes. I guess it's hard to describe really, but that's kind of why I would side towards the first image.

The main thing is the noise on her skin - it makes it look very artificial. Like it's not an actual person. On her cheek it almost looks like she has beard stubble.

The background of the first one also looks like a pointillist painting instead of the real world. (Although I might not notice it in motion.)

I'm not a fan of the skin color either since real people don't look like that. To me it looks cold and artificial, like I'm looking at a painted robot instead of a person.

I do wonder how much of this is film vs digital, as opposed to post processing. Film might not be able to stop grain, but I don't think it needs to look like that for the color. It suspect it was over sharpened and over contrasted in post.