Open Library is an online project intended to create “one web page for every book ever published”. Created by Aaron Swartz, Brewster Kahle, Alexis Rossi, Anand Chitipothu, and Rebecca Malamud, Open Library is a project of the Internet Archive, a nonprofit organization. It has been funded in part by grants from the California State Library and the Kahle/Austin Foundation. Open Library provides online digital copies in multiple formats, created from images of many public domain, out-of-print, and in-print books.
There are 2 red flags with this service of an open library.
1. You need an account in order to view/read books.
2. You can only borrow/read them for a certain time frame: https://help.archive.org/help/borrowing-from-the-lending-library/
A trade-free library – especially a digital one – would make books available to download and/or read without any limitation. Thus this library might be rejected and not listed in the trade-free directory.