You are attempting to split hairs based on distribution

This is not just semantics or “splitting hairs” or pedantic. How it’s distributed is a fundamental property of what a podcast is.

If it’s not, maybe you can tell me what a podcast is, and how it’s different from a YouTube video?

You could argue that calling a live show a podcast is technically incorrect:

…why would I do that?

but thanks to language continuing to adapt to its environment…

This is not “language adaptation”, this is a complete erosion of the meaning of the word.

We have words for videos, they’re called “videos”, which are fundamentally different from a “podcast”.

Podcasts were containerized (aka offline) recordings of these.

Podcast are not necessarily offline. You can stream them.