Some of the Tidal artist-owners can’t pull their work from rival services—because their record deals don’t allow it—but this raises a delicate question: If they could, do Jay Z and his partners really believe that their fans would flock to Tidal? “When you make music, your goal is to get it everywhere, not to make it exclusive,” says Alice Enders, a London-based music industry analyst. “That’s the way the music industry works.”
There are very few artists who would want to limit access to their music. Most artists work their asses off to get their music in front of as many people as possible. Pay a little, pay a lot, or pay nothing at all; musicians want to be heard.
You also have to laugh a little at the prospect of any music staying exclusive to one service nowadays. Even way back in 2003 when iTunes had "exclusive" singles, you would find those songs on dark corners of the internet within hours of their release. Today you don't even have to go to one of those dark corners, it'll just bee on YouTube.