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The article of the title attempts to prove a "General theorem" (GT) givingsufficient conditions under which a previously introduced "general conditionedaverage" "converges uniquely to the quantum weak value in the minimaldisturbance limit." The "general conditioned average" is obtained from apositive operator valued measure (POVM) depending on a small "weakness"parameter g. We point out that unstated assumptions in the presentation of the"sufficient conditions" make them appear much more general than they actuallyare. Indeed, the stated "sufficient conditions" strengthened by these unstatedassumptions seem very close to an assumption that the POVM operators be linearpolynomials in g. Moreover, there appears to be a critical error or gap in theattempted proof, even assuming a linear POVM. A counterexample to the proof ofthe GT (though not to its conclusion) is given. Nevertheless, I conjecture thatthe conclusion is actually true for linear POVM's whose contextual values arechosen by the article's "pseudoinverse prescription".

Proof gap in "Sufficient conditions for uniqueness of the Weak Value" by J. Dressel and A. N. Jordan, J. Phys. A 45 (2012) 015304