I’m happy to adopt a new podcast app if it has sponsorblock natively or through a plug-in. Otherwise let me know if there’s some other way to make it work. I don’t see why it wouldn’t work as all of the segments tagged for skipping are crowdsourced which would also work for Podcasts.
Not quite what you’re looking for, but Overcast has Skip Intro and Skip Outro features. For each show, you can set an amount of time for the app to automatically skip over at the beginning and end of each episode. I find it super useful for some shows
Podcast Addict as well (also has skip silence)