The mac looks to be totally inaccessible, I mean the mac app. it is just plain awful to use. I hope to cancel my spotify account as I have something better, iTunes radio. lol!
I'm a new Spotify user, and yes, I've noticed the IOS app is accessible. However, the main menu is not as intuitive and simple to use as it should be, in my opinion. For example, things like artists, albums, and playlists should be divided up into tabs. A lot of the apps I've used have their menus that way, and it makes it easy to navigate.
Also, when I go to an album by the artist I want to listen to, I notice that VoiceOver will say what tracks it includes. But when I double-tap on the song I want to hear, nothing happens. I know there's the "Shuffle play" button. But it'd be nice if you could play a particular song from an album you want to hear.