There are two branches to that question:
“Last” as in exists: Many years from now, it can still be easily found, listened to, and understood. (By understood, I mean the contexts in which it made sense when produced, still make sense years later.)
“Lasts” as in continues living: The show continues to be produced beyond “pod fade.” The show doesn’t have some in-built reason why it has to end. Etc.
exists — I know of one podcast show in particular, that I loved when I listened, and it has subsequently disappeared—you literally cannot listen to it now. At the extreme end, the U.S. Library of Congress [and other large institutions] has a media [of all types] archival arm.
living — I think this is a question of planning ahead: Does the original creator (or team) have everything… original audio files, notes, documents, guest waivers, broadcast files, login accounts/passwords… organized in some way that the project can grow and contract as people are added, move on, or even die?