I just tried using the webapp while logged in on a Linux computer and it won't work at all in Firefox. If I try to download an episode, it just circles endlessly and never downloads. I've tried on two different wifi connections and on data, all with the same result. I've done two clean reinstalls on my phone and the problem persisted.
I also tried with the webapp on my laptop using Safari, which worked, but only if I wasn't logged in. On my laptop if I hit pause again I get a message saying Spotify can't play this right now and I can try importing it if I have the file. It's the same as other people have reported: I can tap play and the button switches to pause, but it never plays and the time never advances. I've tried on my iPhone 6s, iPad, and MacBook.
I can't play any episodes of the BBC Global News Podcast.