According to a 2K Games rep, the replacement program is still "go" and those who received a broken figurine will get a replacement soon enough. The hold up is due to the production of new, replacement figures as 2K wants to make sure they have the figures on hand before they move ahead with any other steps. We were told to keep an eye on The Cult of Rapture website in the months ahead for more updates and to learn when the return boxes get shipped.
In recap, the replacement Big Daddys are on their way, they're (still) being manufactured, 2K Games will update the community when boxes are being shipped and we all must be super patient. Though, being patient is hard when every day you see your Bubbles suffering with a broken drill bit.