Originally Posted by Often1

Redress numbers only help if you are on one of the watch lists because you are a close match to someone who does belong on the list or somehow made your way onto a list for reasons which should not be.

But, those numbers do not get you out from seconday "SSSS" treatment for either random or other reasons which could include one-way tickets, paid for with other than a CC in your name, purchased on short-notice and so on.