I do but podcasts get sync'd via iTunes and since I still have the Apple podcasts app they appear there.
You can delete 'podcasts' (the program) and it'll go back to working right under the normal music player. For some reason I had to reboot my iPod and my iPad more than once to get it to work, after deleting 'podcasts', but thankfully it's back to working again. 'music' was even upgraded, has some nice interface tweaks!
(So far, other than this horrible podcasts program, iOS 6 actually seems really nice.)