Without treaties, infrastructure sets the battleship ceiling

What might battleships look like by the late 1930s without naval treaties?

After rebuilding naval infrastructure, major powers could plausibly reach near-100,000-ton ships with batteries such as twelve 18-inch guns.

Yamato is a poor final template for a world without naval treaties because she was still bounded by infrastructure inherited from earlier battleships. British planning around the G3 and N3 designs already anticipated a pause to enlarge construction and support facilities. Once docks, yards, and channels were rebuilt, the next generation could grow far beyond Yamato's scale. Warships near 100,000 tons and armed with twelve eighteen-inch guns become a plausible endpoint for the competition.