Mods will likely move this thread to consolidate similar questions, but:
The actual rom image without install is apparently over 1gb larger than the S3 image. Installed, this results in less storage than previous devices. Since Verizon tends to load even more bloat luv, it could see even less than the current 9.6gb the other versions have.
Seems companies like EA, Gameloft and others that on average put out 1.5gb games now would be lobbying the carriers to offer the larger size models.