I think one thing some may be missing is that when we play the type of music WE like, our enthusiasm carries over to the audience, and they are more inclined to like it too. To a point of course.
When I was doing nursing homes, I billed it as "Country Music and Old Time Rock 'n Roll". So they knew what to expect. Of course I would try to do anything they requested as well, but that was the theme, and it always went over well.
The inmates, I mean residents, are generally pleased to hear any type music done well, and probably welcome variety in what they get. Many senior care facilities are only interested in getting whatever they can really cheap or free! I find, around here of course, that the bulk of it is Gospel music that well-meaning groups do for free.