[Select] calling `.focus()` on the ref does not focus the component

Steps to reproduce

https://mui.com/material-ui/react-select/
document.getElementById('demo-simple-select').focus()

Current behavior

If you call .focus() on any of the elments that are rendered by MuiSelect or on the refs element it will not focus the select or it will only visually focus it, but pressing space to open the menu will not work (and instead scrolls the page down).

Expected behavior

That I can call .focus on the ref or an element to focus the select or that there is an alternative way documented / implemented
There is nothing document about this behavior in the docs.

Context

Having a way to programmatically focus an select

Your environment

Mui@6, Chrome

Search keywords: MuiSelect