I think that FAQ is only giving you part of the story.
As far as I know, it is *only* liquids that they're worried about. Duty free camcorders and cigarettes etc can be packed how you like.
Duty free liquids, if purchased in an EU or EEA state (or airline) within the previous 24 hours will be allowed through, provided that they are sealed in a tamper-proof bag with the receipt clearly visible.
I don't think liquids brought in the USA or onboard a US aircraft are allowed.