What a larger Tiger-class cruiser hull buys

If the Royal Navy obtained three Tiger-class light cruisers of 10,000-12,000 tons or more, with six 6-inch guns and twelve 3-inch anti-aircraft guns, how would the larger hull affect their gun problems?

The larger hull adds stability, space, redundancy, and enough growth margin to make later modernization more practical.

Stability and internal space are the most immediate benefits of the larger hull. More turrets mean that one disabled gun or mount removes a smaller fraction of the ship's total firepower. Extra space also makes the cruiser a more flexible asset. A larger hull provides a better foundation and a stronger case for later modernization.