This is response to Spotify's site which has the timeline - https://timetoplayfair.com/timeline/
Spotify launched on Desktop after the App Store launched.
Re:Addressing Spotify’s Claims
by patrickmcnamara on Friday March 15, 2019 @12:45PM
(#19401440)
> Spotify launched on Desktop after the App Store launched.
Your link seems to say the opposite.
Spotify's earliest days were before smartphones. I had Spotify on my computers before they'd even released an iPhone app.