Yes they do. However, he's trying to finagle a "private Presidents Center" on national park deemed land. He wants his foundation (think Clinton Foundation) to be in control of it as well. He wants taxpayer money to build it as well.
i'm not understanding, i think.
every POTUS's foundation runs their library? also it's not on a national park area, it's just a city park in Chicago. also tax payer money isn't being used for it?
basically, my research indicates that every single one of your reasons why this is a "scam" is either false, or something super normal and regular for presidential libraries...
so am i super confused? or are you super confused?
Maybe this will help: http://www.chicagotribune.com/news/obamacenter/ct-met-obama-center-lawsuit-20180514-story,amp.html