Ahh, I see I forgot to reply to this gem of a post. Based on the exact wording of the instruction you love to quote, you attrited due to a flight failure (your poor landing pattern performance). So (and I’ll paste the exact words you used here):
Flight Attrition/Non-Grad. Attrition/Non-Grad is the result of flight (SNA) or practical work (SNFO) failure. NFSs in this category are disqualified for further naval pilot training and are given a negative recommendation for any military pilot training.
So it’s actually worse for you than I initially assumed. Not only are you completely disqualified for any shot at becoming a Navy pilot again, that negative recommendation for military pilot training will screw your chances for any other branch. There won’t be any waivers either, because it’s not worth the risk for a service to chance a slot on a previous failure. Nerd out on missing pieces of paper all you want, pilot is not in your future.
I seriously wish you the best of luck in your NFO career. This site is your first introduction to what a real ready room is like. Learn from the experience and good luck in the fleet.