because they're not big daddy?

Because having Big daddies would mean having little sisters, therefore making it very similar to the previous Bioshocks. Would you have wanted that all over again? Because I am very happy with the completely new direction they are taking for Infinite.

Jesus dosen't anyone pay attention!? This is not Rapture. It is not even tied into the first game in a way thay are talking about yet, if at all. It is just the branding of Bioshock they want to be reconized for. Kind of like a Tom Clancy game. There is Rainbow Six, H.A.W.X., Splinter Cell. They are all Tom Clancy, but also individual games and worlds. Carry that thought over to Bioshock. Infinite is just the next game in the Bioshock brand.

Now back to the topic. All they are implying is that the main antagonist is called "Handyman", and to give us an idea as to what it's place in the Infinite world is they compare it to Raptures "Big Daddys".