Why continuous battleship development favors radar gunnery

Would Britain invest heavily in radar-guided gunnery during twenty years of uninterrupted no-treaty naval construction?

Yes; once guns, armor, and machinery approach practical limits, better shells, accuracy, and targeting information become the most useful ways to increase battleship lethality.

British work relevant to radar fire control already had roots in papers and experiments from the 1910s and 1920s. A continuous building program gives designers repeated opportunities to test and integrate improvements. When adding more guns, armor, or horsepower becomes impractical, they can still improve shells, barrel performance, elevation, accuracy, and target information. Radar-guided gunnery is therefore a logical extension of the development cycle, although the exact timing would depend on exercises, funding, breakthroughs, and interservice competition.