Why do actions with class and public method don’t fire __construct()

Question

In these cases the methods are called statically. The class might look like this, note the static keyword:

class Foo 
{
    public static function bar()
    {
        echo "Hello, world!";
    }
}

And then you can register the callback like this:

add_action( 'hookname', ['Foo', 'bar'] );

There is no object instance, so no __construct() will be called. This is basically just a way to “name space” procedural functions.