  We argue that the interpretation of the calorimetric data for disordered
quantum antiferromagnets Tl$_{1-x}$K$_x$CuCl$_3$ in terms of Bose Glass physics
by F. Yamada {\it et al.} in [Phys. Rev. B {\bf 83}, 020409(R) (2011)] is not
unambiguous. A consistent analysis shows no difference in the crossover
critical index for the disorder-free TlCuCl$_3$ and its disordered derivatives.
Furthermore, we question the very existence of a proper field-induced
thermodynamic phase transition in Tl$_{1-x}$K$_x$CuCl$_3$.
