A determinisitic prompt + seed used to generate an output is interesting as a way to deterministically record entirely how code came about, but it's also not a thing people are actually doing. Right now, everyone is slinging around LLM outputs without any trying to be reproducible; no seed, nothing. What you've described and what the article describe are very different.
Yes, you are right. I was mostly speaking in theoretical terms - currently people don't work like that. And you would also have to use the same trained LLM of course, so using a third party provider probably doesn't give that guarantee.
But it would be possible in theory.