Bull$hit.
I started the first company of Interpreters, and stood that company up in January 2006; I was the very first First Sergeant of that unit. They'd already been in the Army for 1.5 years at that time, but were "attached' to the unit they were initially sent overseas with, for their entire 730 days of mobilization. They had no parent unit.
Despite what YOU think you know, illegals are NOT allowed to join any Armed Service. Green Card Holders are, but not illegals.
What you stated was pure bull$hit.