Which is the technically correct term: Nose Gear or Nose Landing Gear?
Based on the ATA iSpec 2200, ATA Standard Numbering System, which provides a standard for structuring maintenance data by the manufacturers. The structure helps the airlines by providing a common structure regardless of manufacturer.  While voluntary, most aircraft manufacturers use it.  

The spec is organized into chapters by aircraft system. ATA Chapter 32 is LANDING GEAR. Chapter subsections cover subsystems.  Subsection -10 is Main Gear and Doors and subsection -20 is Nose Gear and Doors.  So that's the 'common' terminology in the aircraft manufacturing and maintenance world.