You need to download or stream the podcasts you’re listening to from somehwere. Depends on how you get the podcast (I think Antenna Pod’s internal search still searches Itunes or whatever Apple is calling it this minute?), so it will either directly downloaded from the podcasts server, so they would be able to see your IP address or it will be downloaded from the podcast platform (Apple etc.) and I would suppose they give statistics about downloads to the podcast hosts. Not sure if they’d be able to see listening times when you stream the podcast … but also pretty sure Antenna Pod is not sending that info out voluntarily.