From what I gather, it's not the same case here.

Safari is now unsupported because Spotify deprecated their Flash website in favour of HTML5 + Widevine. Safari doesn't support Widevine, so can't use the new player. However, Safari on iOS never supported Flash so the old version of the Spotify player wouldn't have worked either.

Not really, mobile users tend to use apps more so than a browser for "things." Whereas a desktop user is the complete opposite and would most likely favor just opening a tab versus downloading an entire app.