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OPA171-Q1: Check on Vsupply min spec

Part Number: OPA171-Q1

Hi team, 

Could you please help verify the single rail Vsupply min voltage of OPA171-Q1?

In datasheet first page:

In recommended operating condition

In figure

Could you please help confirm if OPA171-Q1 single supply voltage can go down to 2.7V?

Similarly, in TLV9301-Q1,

The first page and operating condition say 4.5V minimum, but from figure the voltage can go even lower?

Could you please also confirm on this part?

Could you please help me understand what will be the risk if Vsupply goes slightly below the recommendation range?  What limits this minimum voltage range?