Isolating on just the action of sending an update before II, I ask you to imagine dozens of applicants like you sending in updates. Do you think it works for that many applicants?
If it makes you feel better, you can send something. Just because you send a letter doesn't mean you will get re-reviewed for an II. Coincidence does not imply causation.
Of course if you get an R after sending a letter, coincidence doesn't imply causation there either.