Message received when connecting my daughter's iOS 7 4S to iTunes:
Until iOS 7 one could get reliable iTunes Podcast sync by deleting Podcast.app and viewing Podcasts in Music.app or Video.app. Those abilities are now gone. Not a surprise, too bad Apple brought a lot of bugs with the transition including iTunes 11.1 Media Kind bugs causing podcast invisibility, and claims of massive data loss when synchronizing archived podcasts with iOS 7
It's well past time for me to switch to either Downcast or Instacast. My app.net colleagues are reviewing the tradeoffs with me.
(I'm still on iOS, I like the kids to find these bugs first.)