You will find this distinction nowhere in the laws of the United States.
The user should be able to decide how to view content which you make available to the user.
The laws of the United States, broadly speaking, make copyright holders able to make decisions of how to exploit their copyrights. That is what puts the "right" in copyright. "I feel like this would be more convenient for me" does not establish a copyright exception. There's some gray areas here for e.g. format shifting, but the model you're outlining is simply wholesale copyright violation. You would be unwise to pursue it. If you do pursue it, you will eventually be told to stop. After you fail to stop, should one or more copyright holders attempt to use the legal process to enforce their copyrights, you will lose.