Can (dG/dt)/G Bound the Local Cosmological Dynamics?

It is argued that constraints on time variation of the gravitational constant (dG/dt)/G, e.g. derived from the lunar laser ranging, cannot be immediately applied to restrict the cosmological expansion at planetary scales, as it was done by Williams, Turyshev, and Boggs [PRL, 93, 261101 (2004), arXiv:gr-qc/0411113].