Full-frame vs cropped sensor in terms of vibrant/colorful photos?

I was looking at the test photos (presumably taken under the same conditions and settings) in the below link. One set of photos compare D800's DX (Nikon's APS-C) mode and D7000's photos (which is already DX). When I compare that set of photos to other sets where FX photos are compared (such as D800's FX mode vs D3s's FX mode), I see that the color of the photos in the latter sets is much more vibrant and colorful compared to the former set.

I know that full-frame has certain advantages over cropped sensor, but I was wondering whether (i) this is one of them; and (ii) the colors can be made as vibrant as FX photos via photoshop, and if so, whether this is easy and whether it requires to amend each and every color.

http://nikonrumors.com/2012/04/10/nikon-d800-vs-d3s-and-d7000-comparison-by-cary-jordan.aspx/

Thank you!

Added (1). PS. I'm not after an excuse or something. Please do not compare different generation DSLRs for the purposes of my question. I'm simply asking if there's a difference between full frame vs cropped in terms of color vibrancy. One says not. So then why does D800's photos in FX mode are much vibrant than DX mode in those photos?

Comparing two different models is always dicey. I wouldn't trust anything other than a controlled laboratory study. Any difference found in such a study would not be detectable by the human eye. So don't agonize over it. Either camera can make the colors look any way you want. This is not known to be a feature difference between APS-C and 36 mm sensors.