Owner of the G6 since yesterday. Colors are definitely nicer than those of the GH2. Now I am all for grading, not because I detest good video out-of-cam, but because it's fun. An image that shines does so because of vivid skin tones. So it's not just a matter of shoving colors in post to cover the so-called skin line, but mainly because a broader spectrum around that line was recorded in the first place (must be the Canon magic). Otherwise your motifs will look doughy. I don't know yet, how good the colors actually are compared to EOS.
With raw, you shouldn't have to worry about colors, if post-grading raw photos is comparable. I will have the Pocket (hopefully it won't take too long), and it will have a complete, well-thought-out rig from the beginning, and some day raw, for the price of a Mark III (body only).