The op lists Pocketcast as “working” and it is true that it works... however, there is an annoying issue on iPadOS 13 and also on iOS 13 which has not been fixed yet. If you use the “Up Next” feature, the drag controls to re-order your casts have disappeared. There is no way to manually change the order, other than selecting “play now” and/or “play next”. This happens on the app and also in the web browser. I’ve informed Pocketcast, but they’re waiting for later betas, I think hoping Apple fixes it with an update.
Pocketcast should be moved out of apps with no issues and into apps with minor issues.