Spotify and the others are cool because you can stream stuff while on your phone. And getting to the music you want to hear was more seamless and straightfoward.
So in summary, almost, but not quite.
Napster was also one of the first geek-tools to really hit mainstream, and boy was that weird.
Napster was a magical moment where the underground went mainstream for a split second before being snuffed out. Of course these type of (smaller) communities still exist online, and music fans are better off than they ever were, but Napster embodied a sea change that could only happen once.