You would need to show that this wasn’t a consequence of simple evolutionary energy considerations. Larger structures require more energy to maintain, so they tend not to develop unless there is an actual need for them, We would expect noses and vocal chords to be as small as practical unless they served some other purpose, such as sexual display. This explains the ridiculous horns on deer which have evolved beyond a defensive purpose to act as fitness signallers.
In short, men with deep voices and prominent noses - sign of plenty of available energy, sexual signaller, perhaps relationship to airflow needed for peak effort. But women with smaller noses and vocal chords - efficiency given that childbirth requires all available energy, so any display-oriented features are likely to be unsuccessful.
As an example, many songbirds in winter actually lose brain mass to conserve energy. The brain gains cells in the spring to manage the song functions (and perhaps others) then shrinks again later in the year.
