Can the quasi-molecular mechanism of recombination decrease the Hubble tension?

In the recently suggested non-standard - quasi-molecular mechanism of recombination, the presence of neighboring proton increases the ionization energy of hydrogen and decreases the final recombination rate. We note that both these two effects can lead to the larger value of the present expansion rate of the universe obtained using CMB data and standard cosmological model, and thus are able to reduce or resolve the Hubble tension problem.