Yeah the BBC podcasts aren't going to go exclusive, but instead they've launched their own podcast app and piss everyone off by going on about it constantly.
They might go exclusive to BBC Sounds. The BBC has already started pulling its services from those they perceive to be competitors, like TuneIn[1] and Google Podcast[2].
[1] https://radiotoday.co.uk/2019/08/bbc-to-pull-all-radio-servi...
[2] https://www.thedrum.com/news/2019/03/27/bbc-removes-podcasts...