  Yes. In a perturbed Friedmann model, the difference of the Hubble constants
measured in two rest-frames is independent of the source peculiar velocity and
depends only on the relative velocity of the observers, to lowest order in
velocity. Therefore this difference should be zero when averaging over
sufficient sources, which are at large enough distances to suppress local
nonlinear inhomogeneity. We use a linear perturbative analysis to predict the
Doppler effects on redshifts and distances. Since the observed redshifts encode
the effect of local bulk flow due to nonlinear structure, our linear analysis
is able to capture aspects of the nonlinear behaviour. Using the largest
available distance compilation from CosmicFlows-3, we find that the data is
consistent with simulations based on the concordance model, for sources at
$20-150\,$Mpc.

Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology