Skin tone looks good though. But going for Computer to Normal gives everything a different cast. In Computer mode, whites are really white and bright. Normal dulls them a bit.
TV white is 235. PC white is 255 (whiter) that's normal you can up the TV contrast (white level ) if you like and see how it looks *for you*
correct calibrated 235 white (or limited RGB)is like you say *not as white* as 255 computer white (computer RGB) which most TV's clip a little anyway see what you like.
Whites (contrast )should be set with a test pattern anyway not from something posted on the web
from a review site or forum thread you want at least ~ 235 to almost disappear it's OK if you can see up to ~252 with naked eye and no filters though (and that may be more to your liking ) different TV clip different white levels
Use the downloadable Sony color blind test red and blue videos
to set brightness (black level) and color saturation pretty accurately visually ,put them on a stick play it on the TV set it and copy the settings to other mode (s) you want to set . here is an image below to ball park white level all these things and more can be had right here at AVS HD.709
along with instructions for optimising your set short of an optoelectronic professional or DIY calibration .
I usually Max my contrast (white level ) on my 6 sets here and use a brightness that does not crush blacks or shadow detail or whites that requires an accurate color sat though .
I'm not a trained calibrator just an enthusiast suggesting *some things* that have worked well for me and others .
The best results can usually be obtained from a full on optoelectronic Professional or expert enthusiast DIY calibration.
for *your specific set in your environment * .