Podcasts I have barely listened to or clicked on accidentally are displayed at the top of my home screen (Phone and Mac). They are not saved to my library, I didn't follow them, and aren't in my recently played.
Currently there is no way to hide Show recommendations from your Home Screen. Those are automatically generated based on your listening activity and what is most popular with other Spotify users with similar taste.
There are some community members who've voiced their concerns about this here. You can add your +Vote to show support for the idea. Here you can read more on how ideas work.
Hope this info is useful. Don't hesitate to reach out again if you have questions.
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