This is a call to action that works well for, say, local pubs or milkmen. I don't think it should necessarily apply to libraries though. I live in a rural area, and am currently, relatively time-poor and shelf-rich. It makes sense for me to buy books rather than driving to a library during opening hours. I am not a customer that particularly needs a library at present: in fact, using one would be something of a pain.
However, I have certainly been shelf-poor and time-rich (or more conveniently located) in the past, and very likely will be again in future. The fact that I am not using the library much *now* should not be interpreted as a vote to close the place!
I'm not using the local primary school, police station, hospital or prison either, but nobody thinks that means I never will. Surely public services should be used primarily by those that need them, not by those that merely think that they should remain open...?