This may seem depressing at first, but museums do a lot better than colleges/universities and hospitals on this question.
"Charity" simply isn't a word that people tend to associate with museums. While museums may legally be considered charities, I suspect the broader population defines "charity" much more narrowly.
But it does make me want to understand how certain words may make sense to the broader population, and others create dissonance, when thinking of "museums." Especially when thinking about museums and their impact.
A quick data tidbit from my recent studies. Far more to come!
I respectfully acknowledge that I live and work on the traditional lands of the Duwamish people. I thank them for the care of this land, and I endeavor to help museums bring forward a more complete and inclusive history and culture in their work.