A Renown-derived nine-gun capital ship

Could Britain have kept developing Renown-style ships with three triple 15-inch turrets and updated fire control?

Yes; the result could be a fast nine-gun capital ship and support a standardized improved 15-inch weapon across much of the fleet.

A triple-turret Renown derivative could be a useful carrier-supporting capital ship. An improved 15-inch weapon could also be retrofitted across Queen Elizabeth, Revenge, Renown, and Hood-class ships, simplifying ammunition and gun support. For new King George V-class battleships, three triple 15-inch mounts offer nine guns in place of ten 14-inch weapons with broadly comparable weight demands. The argument favors an evolutionary gun family and adaptable hull over a separate 14-inch production system.