  It has been shown that the spherically symmetric solutions in a subclass of
quasidilaton theory are stable against all degrees of freedom and does not even
exhibit superluminal propagation. These solutions can be found by switching off
scalar-tensor interactions, which can not be removed by a local transformation.
In this paper, we extend the analysis to quasidilaton theory, including
non-diagonalizable scalar-tensor interactions. We show that all solutions
inside the Vainshtein radius are problematic : the scalar mode in massive
graviton suffers from gradient instabilities, the vector mode are infinitely
strongly coupled vector perturbations, or the Vainshtein mechanism is absent.
