Keyboard focus not the same as focus?

1

I have a TextField called textField on the first frame of the main timeline, and this simple code.

import flash.events.KeyboardEvent;
import flash.events.FocusEvent;

textField.addEventListener(KeyboardEvent.KEY_DOWN,
   function(event:KeyboardEvent):void { trace("textField key listener"); });

textField.addEventListener(FocusEvent.FOCUS_IN,
   function(event:FocusEvent):void { trace("textField focus listener"); });

stage.addEventListener(FocusEvent.FOCUS_IN,
   function(event:FocusEvent):void { trace("stage focus: " + stage.focus); });

stage.focus = textField;

When I compile, “textField focus listener” traces and “stage focus: [object TextField]” traces, but nothing traces when I press keys.

If I click on the TextField, nothing traces at the time, but then if I hit keys afterward, “textField key listener” finally traces.

What the heck is going on? How do I set the TextField to receive KeyboardEvents if not with “stage.focus”? Do you get the same result if you copy and paste this code?