Why Yamato's design logic depends on the treaty-era fleet

In this comparison, a Yamato is worth about two older American Standard-type battleships, but not two modern American battleships. Removing naval treaties changes the opposition. The older ships would have been replaced before Yamato entered service, and successive designs would have accumulated postwar experience. Their replacements would be larger, more powerful and better developed. Yamato's historical design would lose its rationale against that fleet. Bismarck's design logic would also change without the treaty system.