Why don't we have a right to copy some other's work?
If I come over to your house and see a table that you bought, do I not have a right to measure it, go home, buy some wood and a saw and build my own? Am I infringing on the work of the carpenter who designed and built yours?
If I go to a restaurant and buy an entree, then go home and attempt to recreate it with my own supplies and utensils, have I infringed on the rights of the chef? What if I then publish the recipe I reverse engineered on my blog? Would the chef sue me for "making available" his creation? Would he win?
If I borrow a CD you purchased and after enjoying it, make a reasonably accurate copy with my own polycarbonate, dye, and laser engraver, how is that any different than the above examples?
Music "piracy" is about consumers competing with a distribution business model based on scarcity of physical goods. It used to be very expensive to duplicate CDs ($50k for a writer in 1989 IIRC) and at 600MB, they held more information than people were willing to burn on HDD storage. Times have changed. Now it's virtually free. But the labels still want you to pay the same costs.
Music piracy cannot steal from the artist the labor they spent on creating their art. There is no way I can recreate the live performance of my favorite band. I would still have to pay for the privilege of enjoying that. And no one would pay me for my facsimile cover performance of their music. Money can still be made in music, but distribution for all purposes is now virtually free. The labels need to adapt or die, but prefer to seek government protectionism by suing their customers.