FWIW, I'm itching to move away from OmniStudio.
For sharability, Overcast (et al) let you create short audio or video clips of a podcast.
As for the "browser refresh"... am I correct to assume you listen to our episodes entirely in the browser using the embedded player? If so, that's... miraculous, and a little terrifying. Might I ask why you aren't using a dedicated podcast client? It feels like there's an opportunity here, for us on the providing side at least if not for you on the listening side.