No, this is not like chloroquine recommendations, which was "based" upon very VERY iffy pseudo-science. Here is why. The moderna and pfizer vaccines do not encode proteins with the same structure, or even have exactly the same mRNA sequence (both have proprietary insertions to increase their immunogenicity). We do know, for fact, from the antibody studies conducted in the past 3 months that the antibodies produced by the different vaccines produce different epitope-specific antibody sub-types, and it is very likely (would bet my Ph.D. on it) why the Pfizer vaccine has been shown to have more neutralizing antibodies to some of the new variants than the Moderna vaccine.
Using a second dose from a different vaccine (with a proven good track record) would prime your immune system to have a wider repertoire of antibodies saved up under their respective memory B cells, and thereby prime any subsequent reaction to neutralize a SARS-CoV-2 with a greater array of neutralizing antibodies.
For the lay person, it's like shooting a target with a shotgun vs. a rifle. Assuming what one wants to do is hit the target as much as possible, not just one time.