Prior to the changes made by Stitcher Radio in June 2013, Libsyn, Blubrry, and other pod-catchers would only show one download for Stitcher.
It was because Stitcher Radio would download one copy of your MP3 and re-encode the recording to be streamed through their app.
The number of people listening to your podcast would only show up in Stitcher's own stats package.
This is no longer the case as Stitcher Radio now ‘pings' your media host's stats each time someone listens to your podcast.
This is good news as you will see from my stats shown in this video.