Positive twisted traces are mathematical objects that could be useful in computing certain parameters of superconformal field theories. The case when \(\mathcal {A}\) is a q-Weyl algebra and \(\rho \) is a certain antilinear automorphism of \(\mathcal {A}\) was considered in [3]. Here we consider more general choice of \(\rho \) . In particular, we show that for \(\rho \) corresponding to a standard Schur index of a four-dimensional gauge theory a positive trace is unique.