Almost true. I can do anything with it apart from sending it over a not protected network (for example streaming from a shared drive on an open wifi). If anyone captures such file with a sniffer in such situation and publishes over p2p, it's my details that stay in the file.

On the other hand if anyone really cares about such contrived scenarios, they can just recode the file and tag it again - most simple watermarks should be removed that way. And since it's already an mp3, you're not losing that much quality on such operation.