Sincerely, I got the game yesterday by courier (pre-ordered at Origin) and got only the Hunter Edition (The Overkill pack code or whatever that I paid for was missing, and apparently some other people experienced this issue too)

Apart from the Skin for the Typhoon, it grants you early access to the Typhoon in MP, yeah nice, I unlocked it in a little under 40 minutes of gameplay (Double XP weekend).
What a nice ripp-off, did anyone actually get the Overkill pack?

there are only 2 editions of crysis 3 on origin. Hunter which is the standard and the digital deluxe

to get the overkill pack you need to purchase the Digital Deluxe edition.

You cant get the digital deluxe edition as a physical disk because it contains a lot of extras including the original crysis and crysis 2