Sorry, can you explain what you aren't getting? It sounds like you are looking at this from a comparison of audio distribution models POV?
I think the OP was focused on protecting the word "podcast" as a distinct social and business value it provides by the nature of being a podcast, which is a distribution model and an ethos
Thanks to the iPod et al, we now have an easy & accessible experience of offline audio freedom inherent to podcasts by definition
Cool, we're in agreement about the downloaded part of the definition. What is implied in the definition is the ability to play that downloaded file offline. (Setting aside for now the idea of playing it offline with an app of your choice.)
But what do you call audio that is trapped on a platform and can only be streamed? Streaming is also downloading, but without saving it for offline use.
Podcast implies downloadable for offline access, right?