This is not the only criteria for weeding; and you also need to consider the publishing industry's involvement as well. I often want to replace good books in the collection that are falling apart but they are out of print. If the publishing industry sees no profit in doing a new print run of a good title it will not be possible to keep it as its a physical object and will eventually deteriorate. If we can can't get a replacement copy, then we have to find a new comp title that is in print. I can't event entirely blame the publishing industry since they run on very narrow margins as it is. Reprinting old titles that are good but niche like Gender Trouble by Judith Butler is something they often just can't afford to do if there isn't enough demand.
Ultimately it comes down to Ranganathan's First Law of Library Science. Books are for use. If nobody is reading it then it doesn't matter how good it is, we can't justify keeping it. Literally 0 circulations over ten years in the collection is a book that served no use in the collection. It was "dead on arrival."
Titles like this don't get "purged" from everywhere though. Individual copies are kept in larger libraries that have the space for them, like academic libraries or the central/main branches of large public library systems. Nearly every library is a member of ILLiad. As long as one copy of the title exists in Worldcat then anyone who wants to read the title will be able to do so for free. You simply make an interlibrary loan request through your home library and in a matter of weeks you get a copy shipped to your library from one of the larger repository libraries that is holding a copy.
So like, our last copy of Gender Trouble fell apart... but nobody was reading it anyway. So it's gone from the collection there's nothing I can do about it. But I can still get a copy from a university for free for any patron who wants to read it, it just isn't conveniently on the shelf in their neighborhood, which probably doesn't have space for books that won't get read more than once every five years.
All that said, even when books on particular subjects are enormously unpopular the second and third laws of library science are still "To every book its reader and to every reader their boon." We ensure that there are no subject gaps in the collection and that the gaps are being filled by high quality options of what's available to us. Even if nobody is borrowing books on LGBT civil rights history, we will always ensure the subject is covered by one or two books that are of high quality.
