I just want to add that I have the same problem as you and the latest 1.16.2 update didn’t help.
I would like to add that everything else works fine, it’s just the download link under the player. Itunes downloads are fine, playing the file in the player is fine and even you can use the download link if you first do “open in a new window” to use that download link. It’s just a problem with the default player download link.
Comparing the difference between the download link of the default player with the one that works in “play in new window” shows different links. The working link points to the expected upload folder, but the non-working link points to a non-existent folder of “../podcast-download/4004/xxxx.mp3?ref=download”. I’m not a developer, but I think the issue lies in this link somehow.