Where is this information being obtained? I don't see where this data could possibly be scraped from. There's another Apex Legends stats tracker and I don't get how it works either, although to be fair it looks like the way it works is very roundabout and rigged up, but I still don't get where the actual information is stored on the world wide web for anyone to scrape it. The only way to see one's stats is in-game menus. What else is there?
I would imagine this is coming from an unofficial Origin API. Last I can recall, EA has not released a public-facing Origin API but I think there are 3rd party solutions that will grab Origin profile information. There is likely a way to obtain game specific information from there.
Just a guess, though.
