As of 2025, the method still works globally. If it stops working, Facebook will likely replace it with a server-side script that serves only the “large” (720px) version to anyone who is not the uploader. For now, enjoy the full resolution while it lasts.
If you need a profile picture for legitimate purposes (e.g., design work with permission), consider messaging the person directly to ask for a high-resolution copy. view facebook profile picture full size full