Not necessarily? It's survived some 350 years, which is pretty long as far as music is concerned, but that's because our society places importance on this music. If our societies turn to dust, our inheritors might not necessarily be so infatuated with it. They also could be, much like Greek philosophers have been a fascination in the Western world for thousands of years, but there's no rule saying that people will enjoy classical music forever. Plenty of great things die out or just grow out of fashion.
If you're talking about the music being preserved and able to be played in the future, then sure, but the same thing could be said of Shakira.
