As I understand it, the manager rankings are the last determining factor.
So if a facility ABC is able to pick up five people, and four people are eligible to be released from their respective facilities to facility ABC, the ranking is irrelevant. All four get to go.
If facility ABC is eligible to pick up five people, and ten people are eligible to be released from their respective facilities to facility ABC, then only the five top-ranked people get to go. Then the NCEPT panel moves down to the next facility on the priority list and does it all again.
For this NCEPT in particular, because of the hard cap on how many people each facility can pick up, the ranking list is even more important than before. But it's still secondary to the question of whether facility ABC is eligible to gain in the first place, and whether your facility is eligible to release.