It's probably easier to get rid of the word entirely, since it's loaded with propaganda to begin with, making it:
"Became popular when people started sharing music with each other online" (And the wording still allows that people were sharing with each other before doing it online.) Despite what those against us in the war on sharing would have people believe, sharing is good. Given the lack of success with various legal and technical measures to prevent sharing, some are instead working to change people's attitudes about sharing, trying to convince them that it's somehow wrong. One way you can help is by not believing the propaganda and not spreading those terms yourself.
