It wasn't intended as a lecture; I apologize if it somehow came across as such.
(Plus, when I started writing that post, your reply saying you got it was not actually in the thread yet for me to have seen, as it was posted -- according to the timestamp -- 9 minutes before I hit 'Post' on my reply. Which took me roughly 15 minutes to write because I went to double-check that I was remembering the drops correctly.)
Either way, it was offered in the spirit of "here is information the OP might want, and which could be useful to have for posterity." Because this thread now exists and such threads can turn up when someone uses the forum's search engine -- or Google searches 'ffxiv how radiant weapon so fast' or whatnot -- and I figured it might as well have an explanation already here when they show up having clicked on the search result.
¯\_(ツ)_/¯