Churchill's large cruiser changes size with the strategic era

What displacement would Churchill's proposed large cruiser need if it used 8-inch guns?

About 12,000 tons in a post-First World War setting and roughly 15,000 tons during the Second World War.

The proposal's period determines the size because the same political enthusiasm would produce different ships. In the aftermath of the First World War, the cruiser would sit near the roughly 12,000-ton Hawkins-class scale. A Second World War requirement would grow toward about 15,000 tons. A familiar label such as large cruiser cannot be separated from contemporary weapons, threats, and displacement expectations.