The Library’s agreement with the publisher or vendor generically covers all authorized users. Agreeing to Terms of Use or Terms and Conditions entails an agreement between an individual, “you,” and a publisher or vendor (i.e., the Library may not be party to the agreement).
The Library’s agreement often, but does not always, supersede these terms by including a clause that if click-through agreements differ or are substantially changed without proper notice, the Library agreement is more enforceable. However, you should review the terms on the resource's website for further use guidelines that may or may not be covered in the agreement with the Library.