Most welcome.

Its app description is, "Listen to any podcast, and clip any moment into text." But this is not the capability of value for which I referenced it.

The OP mentioned a specific interest in listening to YouTube videos audibly as podcasts automatically, without having to manually extract and convert the audio content for use.

Momento does this exact thing, beautifully and automatically, in-app. Users can search for their fave YouTube Channel, any episode, and listen, sans video, to their heart's content! It's beautifully done and exactly satisfies OP's primary gapped need. (except no integration for Vimeo or direct URL links as yet)

But even better, Users can Follow, make playlists, get updates, and download whole episodes from all their podcastified YousTubes!

But wait, there's more! It allows annotation and exporting clips +/- the annotations in a variety of output formats for sharing or further digestion.

Annnnd, it also does the 'clip and transcribe to text' thang...