> In the same way it doesn't make any sense to have DRM on music or anything else I pay for
You're not buying it, you're renting it. A subscription is a monthly payment, you will no longer have paid access once you choose to stop paying for it. It has DRM for the same reason Spotify, Apple Music, et al. use DRM.
In the context of podcasts where there's a regular stream of episodes, it's perfectly reasonable to say that you have DRM free access to any episode that occurred prior to your subscription ending. It's how every single other podcast subscription service works.
(full disclaimer: I run engineering for a competitive podcast subscription service, Supercast)