The design penalty of mandating six-inch turrets on destroyers

How would Royal Navy design evolve if every destroyer or larger ship had to carry a triple six-inch turret?

Destroyers would suffer a severe weight penalty, while the mandate would probably accelerate development of a triple six-inch autoloader for larger ships.

The proposed law would cause institutional panic. On a destroyer, a triple six-inch mounting would take a very large share of the available displacement and stability margin. Cruisers could absorb the requirement more naturally. Pressure to make the mandate workable might accelerate a triple six-inch autoloader, though the mismatch between gun weight and a small hull would remain.