We understand your stats are very important to you, they are very important to us also. Because of this your stats will remain the same as they have been with your current hosting solution. So if you host on a platform like Buzzsprout, Soundcloud, Libsyn, or one of the many others you will still get your listener stats on that platform.
You will also see statistics on Dynamo. The audio files get served through Dynamo which makes the ad stitching possible and allows us to be able to track the impressions for you. Dynamo counts all the download requests (both the ones with the ads and the one without) - so you can also see your statistics on Dynamo.