Considering the accuracy, or very probably lack there of, in that meter for measuring color.. what exactly have you done?
Have you fixed it or made it worse? Making major adjustments in the CMS can lead to other more noticeable problems like color banding in gradients.
About all you can do is watch the display for a couple of weeks/days, document your cms and color/tint settings, and reset CMS color and tint back to zero/centered I.E. default and watch for a couple more weeks.
Let your eyes tell you which is best, because the charts really can't, do to all of the Salt.
As you saw, you got different results at different saturation points.. There are millions of possible combinations of saturation and luminance, adjusting at one spot does not mean it will be anymore correct at all the others, especially when using a meter with questionable accuracy.
I am no expert, but have been playing with this stuff long enough to know that even with accurate meters a lot of the controls, even on high end stuff, don't work well or cause more harm than good..