It's not a right to make millions it's a right to make... whatever you make.
Rihanna could release her music on vinyl only but it would still be recorded and converted to an MP3 and up on torrents in a matter of hours, digital has nothing to do with it.
The business model they would probably switch to in the case of no copyright would be to distribute a small amount of the music for free but if you want to hear the rest you have to attend a live concert where you would be searched for recording devices on entry.
If Rihanna and others don't want their music to be pirated they shouldn't make it digital.
It is not a naturally given right you know to create an album once and then sell it in millions. It's an opportunity.