I assume the huge density difference between plutonium allotropes contributes to making a density wave (explosion) an effective way to trigger criticality?
The decisions made during the Manhattan Project were not aimed at high efficiency nuclear weapons; the project needed to ensure that reliable weapons could be constructed quickly with the limited information available at the time. Even before fusion weapons were invented, atomic bombs became significantly more powerful, efficient, and lightweight due to realizing design optimizations that couldn't be tested before the war ended.
Wouldn’t larger change in density for a given force be an advantage, though? It allows you to have a larger subcritical mass (at the lower density) that becomes critical as force is applied, without having to play geometric games; but maybe those games are trivial?
(The nice word in there is 'ansatzes' which I didn't know, as something like a starting guess/assumption)