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A recent Letter in Physical Review Letters, "Contextual Values of Observablesin Quantum Measurements", by J. Dressel, S. Agarwal, and A. N. Jordan(abbreviated DAJ below), introduces the concept of "contextual values" andclaims that they lead to "a natural definition of a general conditioned averagethat converges uniquely to the quantum weak value in the minimal disturbancelimit". However, they do not define "minimal disturbance limit". The presentpaper is in part the saga of my search for a definition of "minimal disturbancelimit" under which this claim could be proved. The search finally ended in whatis probably a definitive counterexample to the claim.

"Contextual weak values" of quantum measurements with positive measurement operators are not limited to the traditional weak value