  We perform several tests on a recent proposal by Shifman and Stepanyantz for
an exact expression for the current correlation functions in supersymmetric
gauge theories. We clarify the meaning of the relation in superconformal
theories. In particular we show that it automatically follows from known
relations between the current correlation functions and anomalies. It therefore
also automatically matches between different dual realizations of the same
superconformal theory. We use holographic examples as well as calculations in
free theories to show that the proposed relation fails in theories with mass
terms.
