I noticed, in general you guys are all trying to fix the exact same problems that the S1 has. Chances are the S1 and S2 are identical sets. You should really all take a look at the Official S1 thread, which has over 7000 posts. This will save time with you guys trying to solve the same issues that have already been resolved or discussed.
As long as your grayscale has a green cast to it, and you follow the DVE blue filter and test pattern and set cinema mode to +8 green tint, you will suffer a washy, overly green looking picture.
It is my theory that the cinema mode "tricks" the consumer into thinking there tint is correct at zero, like it is on all the other modes. But in Cinema mode, since it defaults to that warm, overly green grayscale, they actually made the tint at "0" -8 towards red. (try it yourself with your blue filter, all the modes have an accurate tint at "0", but cinema is actually accurate at +8. Without filters, the consumer doesnt know this, and leaves it at "0" which is really -8 towards red) This is probably to enhance the look of green, say on a baseball field, but preserve skin tones. This results it inaccurate colors. BECAUSE there is an inaccurate, green grayscale, they have to mess up the colors to get them to look "right".
Once you fix the grayscale, then you can set the tint correctly, and all will be perfect in the tv world. Setting tint correctly with that terribly green out of the box grayscale however, will result in an overly green picture. Not to mention white looks green reguardless of the color and tint.
If you love the Warm color temp, you really have to fix the grayscale. Otherwise, use cool/custom settings.