In all of these cases except fair use, the original purchaser (library, radio station...) has already provided value to the publisher, under terms that allow you to consume it for "free."
I think you're nitpicking that you personally didn't have to provide value, someone up the chain did it for you. But that's clearly included in what OP intended, if not the letter of their words.
As I noted, when I listen to FM radio (in the US at least) there is no specific royalty paid to the copyright holder for the sound recording (such as the record company), or even to the artist – only to the songwriter (or whoever holds the songwriting rights.)
This can sometimes have surprising effects[1].
Confusingly enough, in the US at least, the same radio program will incur different royalty requirements depending on whether it is broadcast via terrestrial radio, satellite radio, or internet radio.
I think you're nitpicking that you personally didn't have to provide value, someone up the chain did it for you. But that's clearly included in what OP intended, if not the letter of their words.