John, as you can see in this test post, the problem you have described above exists not in my demo blog. That leads me to the conclusion that there are certain circumstances in your blog which are causing this problem.
If we could find the cause and if it is somewhere in podPress then I could write a patch and fix it.
Please, tell me your Post Content settings from the general settings page of podPress.
Location: Start | End ?
Image: Button | Icon | None ?
Player: Enabled | Inline only | Popup only | Disabled ?
Download: Enabled | Disabled ?
Show Download Text: Enabled | Disabled ?
Show Download Stats: Enabled | Disabled ?
Show Duration: Enabled | Disabled ?
Before <!- More -> tag: Yes | No ?
p.s.: I have nothing to do with status of this thread and I don't know why you are getting these "closed"-messages.