User blog comment:KalKent/Songbird in BioShock 1 (with video)/@comment-75.19.156.58-20130629234047

Its a reused sound. Basically, IG traditionally adds some of the same ambiant sounds and music from their games into their latest game, which in this case, its System Shock 2 into BioShock, and even 2K Marine did the same with BS2. For example, if you go to the area with the 1st Fireman after leaving the raffle, you can hear the ambiant music from Apollo Square, and the Blue Ribbon has the same ambiant music from Fort Frolic. Even some ambiant music from BS2's Fontaine Futuristics is in Infinite.

So unless they consider it, its just a rumor.