Comments on the last development in constructing the amplitude for the radiative muon capture

It has recently been claimed by Cheon and Cheoun that the discrepancy between the experimental value of the induced pseudoscalar g_P, obtained at TRIUMF from a measurement of the radiative muon capture by proton, and its value predicted by using PCAC and pion pole dominance can be explained by a contact term generated from a simple pion-nucleon Lagrangian. We show in our comment that this claim is ill founded.