A 9.2-inch cruiser is possible, but has no clear mission

Would Britain build a class of 9.2-inch cruisers in this timeline?

Possibly, though there is no clear reason to prefer it over additional 6-inch cruisers without a defined opponent and mission.

Avoiding the pause does not settle whether Britain builds a 9.2-inch-gunned cruiser. The design would still need a plausible opponent and a role that justifies its cost. More 6-inch cruisers may offer greater wartime utility instead. The conclusion remains deliberately uncertain because continuous production changes capacity without deciding every later requirement.