Agree that private money is best used where public money isn't available... Bezos purchased the entire Washington Post - the 8th largest paper in the country with national readership - for $250M. [1] By comparison, the two library systems that service the Seattle area cost a combined $190M to run just in 2017. [2] [3] The reach and impact that can be achieved by strategic investments like the Post surely outweigh what little incremental improvements could be made in existing library systems.
[1] https://goo.gl/QfbJG1
[2] http://www.spl.org/about-the-library/budget
[3] https://kcls.org/budget/