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

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