I read something on another thread that seemed to poke at this, but I may have a misunderstanding. As long as there is a qualified & nominated individual in a district, will at least 1 person from every district get an appointment?
Yes, this is correct. But, with 535 MOC's (including Senators), more than half the class comes from sources other than MOC slate winners.
Each MOC can only have 5 midshipmen attending the academy that are
charged to the district. But, for each slate of 10 nominations there are a potential 9 other candidates that can be nominated and appointed
from the district but not charged against the 5 allocated slots. The number of slates of 10 nominations will be 1 or 2 (every 4 years). The process is managed closely to make sure there is not a year with no vacancies - if that happened, the MOC would not be able to make any nominations. Easiest way to find out if they are nominating 1 or 2 slates is to call the MOC's office and ask.