Just an idea:
Currently, the Select Menu component's appearance is based on the user's OS.

It'd be nice if it looked like something closer to the Dropdown menu component

Styling it doesn't seem to be tough a task. However, accessibility is my bigger concern. The component may need a tabindex=0 property in its HTML in order to preserve page tabbing. This is not possible to enforce using CSS alone, so docs may need to reflect the importance of having a tabindex=0 attribute.
Just an idea:
Currently, the Select Menu component's appearance is based on the user's OS.

It'd be nice if it looked like something closer to the Dropdown menu component

Styling it doesn't seem to be tough a task. However, accessibility is my bigger concern. The component may need a
tabindex=0property in its HTML in order to preserve page tabbing. This is not possible to enforce using CSS alone, so docs may need to reflect the importance of having atabindex=0attribute.