Do Hood and the G3s count as fast battleships merely because they are often called battlecruisers?
Short answerNo. The distinction rests chiefly on armour coverage and subdivision, with speed and intended fleet role adding further context.
NotesCapital ships fall along a spectrum, and navies did not use their labels interchangeably. A battlecruiser accepts cruiser-like subdivision and less comprehensive armour coverage in return for manoeuvrability, whereas a fast battleship has denser internal protection and must keep pace with the fleet's cruiser line. Hood's upgrades improved critical areas but could not rebuild its subdivision throughout the hull. The G3 design similarly remains on the battlecruiser side of the proposed spectrum, even though it approaches the fast-battleship boundary.