Multitouch multiple touch points confusion

I am trying to implement multiple touch points for the first time.  I'm testing on a Samsung Galaxy Tab 2 7.0; if I do device debugging over USB, AIR reports that the device supports 2 touch points and touch events are supported.

The app I'm working on is in the early stages, so there's not much going on at the moment. I have two SimpleButtons that I'm trying to set up so the user can press both of them at the same time, but I can't get it to work right. If I hold the first button and then press the second button, the first button stays pressed and the second button doesn't recognize a press (the SimpleButton doesn't even change its background to the pressed state). If I hold the second button and then press the first button, the first button does nothing, and the second button is released (both in my code and visually).

public function enableButtons():void {

     Multitouch.inputMode = MultitouchInputMode.TOUCH_POINT;

     trace("supportsTouchEvents:" + Multitouch.supportsTouchEvents);

     button1.addEventListener(TouchEvent.TOUCH_BEGIN, onHoldButton, false, 0, true);

     button2.addEventListener(TouchEvent.TOUCH_BEGIN, onHoldButton, false, 0, true);

}

private function onHoldButton(event:TouchEvent):void {

     trace("HOLD BUTTON " + event.target.name);

     var button:SimpleButton = event.currentTarget as SimpleButton;

     button.removeEventListener(TouchEvent.TOUCH_BEGIN, onHoldButton);

     button.addEventListener(TouchEvent.TOUCH_END, onReleaseButton, false, 0, true);

     button.addEventListener(TouchEvent.TOUCH_OUT, onReleaseButton, false, 0, true);

}

private function onReleaseButton(event:TouchEvent):void {

     trace("RELEASE BUTTON"  + event.target.name);

     var button:SimpleButton = event.currentTarget as SimpleButton;

     button.addEventListener(TouchEvent.TOUCH_BEGIN, onHoldButton, false, 0, true);

     button.removeEventListener(TouchEvent.TOUCH_END, onReleaseButton);

     button.removeEventListener(TouchEvent.TOUCH_OUT, onReleaseButton);

}

Am I doing something wrong here? Do SimpleButtons not support multitouch?