FWIW the essence of copyright law AIUI is: copying is not permitted, unless done in a form explicitly allowed by the license holder.
This scenario seems quite contrived but is there an actual court precedent allowing it? I'm 100% confident no one will ever prosecute you for doing it but that's not the same thing as "allowed".
In another thread I already posted about https://en.wikipedia.org/wiki/American_Broadcasting_Cos.,_In....
This case was about pointing <recording equipment> at <content someone is allowed to access> and making a copy to transmit it to <only that person>. The Supreme Court held it to be illegal. There was a lot of money on the line, which is why it went so far.