HMS Tiger was already larger and heavier than the Queen Elizabeth class despite being a battlecruiser. Her original design approached the fast-battleship idea through increasing size and density. The Queen Elizabeth class approached a similar combination through the development of faster battleships. Their overlap makes a Tiger-based battleship a plausible subject for a counterfactual. The comparison concerns the ships as originally designed, before later reconstruction.
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Tiger and Queen Elizabeth approaching the fast battleship
Tiger's size and protection provide the starting point for a hypothetical Queen Elizabeth built around a battlecruiser hull.