I disagree.
I think there's the Rosie model, the Bouncer model, and that grappling hook model. I think each base model has different weapon attachments, just like the splicers do. So that's 3, and if this article is accurate, there's a fourth.
'"There are four Big Daddy types," he adds. "The guy you fought with a drill called the Bouncer; there's a kind with a gun that tosses proximity mines." And two more, apparently, though Levine gets distracted explaining that the Bouncer's current move set -- including his ability to charge and stun the player -- was inspired by a video trailer Irrational created simply as a sizzle piece. BioShock has had the luxury of time, and Levine thinks it's a better game for it.'
http://www.1up.com/do/previewPage?pa...=1&cId=3160697