I don't blame you for being frustrated!
Unfortunately, even at the new Miami port, they don't seem to care about embarkations (and disembarkations). When they said over the PA, "Platinum members may now board," it showed that the port workers DO NOT have a clue! It seems that NCL hasn't bothered to give them a scripted pattern for embarkation procedures.
It seems too logical to actually allow the tiers to board based on higher-to-lower status, which we have been lead to believe, by NCL, should matter.