I feel I should restate how my podcast playlists seem to be working.
I havent actually changed anything, and my podcasts seem to be functional after the IOS6 upgrade, but the only thing I don't have is a visible listing of my playlist.
I still have a playlist, in my case, it's cleverly named "podcast playlist" It's a manually ordered and maintained playlist (not a smart playlist) edited on my laptop as needed, and it apparently syncs as I am able to play everything I add in order, and in toto.
The only thing that I don't see is a listing in the "Music" app, and therefore, I can't select a podcast in the playlist directly, but if I'm willing to use skip forward, and skip reverse, I can move from selection to selection. The podcast being played shows in the "now playing" screen, but again, the list is invisible.
I haven't deleted the podcast app, though I probably eventually will. Otherwise, all works as long as I can get by without viewing the playlist. which in general, I don't have to.