Semantics. A podcast is and was something that was typically long format akin to a talk show - that was something that could be listened to without requiring you to watch it. It is not audio exclusive. Many radio shows may and do have video feeds but that does not prevent them from being called radio shows.
Again semantics. You are attempting to split hairs based on distribution opposed to type. This is like being a pedant over someone referring to tissues as a Kleenex despite it not being that particular brand. Podcasts were ambiguous back when they were still new, too.
Shoutcast servers were/hosted digital broadcasts. Podcasts were containerized (aka offline) recordings of these. You could argue that calling a live show a podcast is technically incorrect: but thanks to language continuing to adapt to its environment… You’d actually just be out of date or misinformed.