It doesn’t.
The Maryland ebooks law that was struck down forced publishers to offer a license to the libraries if the publisher licensed any ebooks to consumers in the state. Typically a “compulsory” license like this is something that only the federal legislature (Congress) can regulate, since compulsory licenses are part of the Copyright Act. Because the Maryland law compelled/forced publishers to sell to libraries, even if the publishers did not want to sell to libraries, this law was ruled as an unconstitutional exercise by the State of Maryland - only Congress can make compulsory licenses.
Here, all of the Maryland language to force publishers has been removed. That means it no longer involves copyright law. In fact, many of the states have eliminated any language that has to do with copyright. Again, this is a licensing and contract bill based on previously existing state laws that regulate contracts. The language of this bill harnesses the power of the state to help libraries that serve the public negotiate fair and equitable terms that are reflective of the special mission libraries have in service of the public.