  A diffusive stochastic Schr\"odinger equation (SSE) is shown for the first
time, such that contributes to a non-completely positive dynamics. This
contradicts to a recent Letter [arXiv:1303.4284] claiming that SSEs, under most
general conditions, enforce complete-positivity. The general form and
parametrization of the SSE in the Letter is different from an alternative
simpler result, the difference is shown to be completely redundant because of
the gauge-freedom of the state vector's phase.
