The IA has tried distributing their stores, but nowhere near enough people actually put their storage where their mouths are.
Typically because most people who have the upload, don't know that they can. And if they come to the notion on their own, they won't know how.
If they put the notion to a search engine, the keywords they come up with probably don't return the needed ELI5 page.
As in: How do I [?] for the Internet Archive?, most folks won't know what [?] needs to be.
Then rename it from "torrent" to something else.
The bad reputation is inherent to the tech, not a random quirk.
Downloading from example.com is just peer to peer with someone big. There's lots of hosting providers and DNS providers that are happy to host illegal-in-some-places content.