  We show that the phenomenon of frozen discord, exhibited by specific classes
of two-qubit states under local nondissipative decoherent evolutions, is a
common feature of all known bona fide measures of general quantum correlations.
All those measures, despite inducing typically inequivalent orderings on the
set of nonclassically correlated states, return a constant value in the
considered settings. Every communication protocol which relies on quantum
correlations as resource will run with a performance completely unaffected by
noise in the specified dynamical conditions. We provide a geometric
interpretation of this
