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Of course in Analog high Z mode,
The input resistance should be exceed a few mega ohm, I guess.
Instability around Vss is cause from rail-to-rail characteristic
For example, acording to the ADC datasheet
Analog input has characteristic such as shown in this picture,
It's depending upon the setting.
rail1.JPG 33.7 K
If the pot ranges outside Vdda, there is a spec on allowed injection
current into a pin to prevent latchup. Also a max current of 100 uA
thru input protection diode.