Strangely enough, it might be applicable to hospitals. What you want in a hospital is an environment without pathogenic bacteria.
There are different ways to achieve it. It seems that the research like (1) points toward that bacteria establishes themselves very fast in a hospital, the environment is dynamically changing and is affected by hospital staff and patients. There is definitely competition present between MRSA and non-pathogenic bacteria.
Use of hands sanitizers creates environmental pressures on the bacteria. Both pathogenic and non-pathogenic (2). Hopefully this pressure is still beneficial. That is, it does diminish the rate of infections.
But one can easily imagine a situation where a MRSA bacteria resistant to a non-alcoholic hand sanitizer could benefit from absence of non-resistant (and non-pathogenic) bacteria. And in that case, use of such hand sanitizers would be shaping the environment in a bad way. MRSA will be catching a ride in the absence of non-pathogenic competition. In that particular case, relying on the immune systems of hospital staff to shape the bacterial micro-biome on their hands (and as a result in the hospital - see (1)) might be better, compared to the use of such hand sanitizer.
There are different ways to achieve it. It seems that the research like (1) points toward that bacteria establishes themselves very fast in a hospital, the environment is dynamically changing and is affected by hospital staff and patients. There is definitely competition present between MRSA and non-pathogenic bacteria.
Use of hands sanitizers creates environmental pressures on the bacteria. Both pathogenic and non-pathogenic (2). Hopefully this pressure is still beneficial. That is, it does diminish the rate of infections.
But one can easily imagine a situation where a MRSA bacteria resistant to a non-alcoholic hand sanitizer could benefit from absence of non-resistant (and non-pathogenic) bacteria. And in that case, use of such hand sanitizers would be shaping the environment in a bad way. MRSA will be catching a ride in the absence of non-pathogenic competition. In that particular case, relying on the immune systems of hospital staff to shape the bacterial micro-biome on their hands (and as a result in the hospital - see (1)) might be better, compared to the use of such hand sanitizer.
(1) Bacterial colonization and succession in a newly opened hospital: https://stm.sciencemag.org/content/9/391/eaah6500
(2) Good overview on different environmental pressures here: https://www.nature.com/collections/egehbdefja