  In theories of massive gravity with Fierz-Pauli mass term at the linearized
level, perturbative radially symmetric asymptotic solutions are singular in the
zero mass limit, hence van Dam-Veltman-Zakharov (vDVZ) discontinuity. In this
note, in the context of gravitational Higgs mechanism, we argue that in
non-Fierz-Pauli theories, which non-perturbatively are unitary, perturbative
radially symmetric asymptotic solutions have a smooth massless limit, hence no
vDVZ discontinuity. Perturbative vDVZ discontinuity as an artifact of the
Fierz-Pauli mass term becomes evident in the language of constrained gravity,
which is the massless limit of gravitational Higgs mechanism.
