It's not entirely absurd IMO, it could be that iTunes did so well because Kazaa, et al., had laid the groundwork for an expectation of "any tune, any time" and iTunes came closest to that?
People had gigabytes of free music on their computers and wanted a place to store them that enabled easy playback, hence the iPod. iTunes removed the friction necessary in piracy and priced inventory low enough to emerge as a viable alternative.