My colleague may have something to add, but for doing cross-border commercial shipments, there is a certain amount of reporting required that would be verified on export. In addition, Customs and Border Protection in the United States also have their own measures that they apply at the border to ensure that these are safe and legitimate exports.
In a situation such as that which you are identifying as a case study, there are various layers of law enforcement regulatory measures that are in place that would hopefully have identified that beforehand. Illegal or unreported fishing, harvesting and then export abroad is something that we do certainly try to catch, but that is one method that illicit actors may attempt to use to circumvent established procedures. However, paperwork is required at the border for export.