Warm fuzzies are the only meaningful benefit this guy will get from alternating oil brands. Tribologists will argue the merits of each oil formulation applying a protective layer/film on engine parts. These protective films are more intended to protect the engine in emergency conditions (overheating, lack of oil) which goes beyond the scope of your question.The guy at work who is using this method of alternating, see's it as beneficial.
But still... here is my understanding: different oil formulations apply protective films on engine parts using different additives, or different concentrations of the same additives. Apparently, changing between different oil brands *MAY* result in the removal of the protective film from the previous oil's formulation, followed by the application of a protective film from the current oil's formulation. The period in-between protective film layers *CAN* produce higher wear metal numbers in an oil analysis. But all the wear numbers I've seen in this scenario are very small and not a reason for concern, even for long-term ownership. YMMV