ISTM that Unlocker's apparent success may have been a coincidence. The marketing blurb states that "the fantastic 3TB+ Unlocker tool offers a tweak-friendly feature, breaking the limitation of 32-bit operation system that could only detect the hard disk within 2048GB. "
This suggests that Unlocker is designed to circumvent the 32-bit LBA limitation of your OS. Notice that 2048GB = 2TiB, not 2TB. The latter is a BIOS bug.
Sometimes the 2TB bug can be automatically repaired simply by changing the boot order in BIOS.