unsetting draggable

I have a widget that I set draggable with

widget.getElement().setDraggable(Element.DRAGGABLE_TRUE);

and register a DragStartHandler. Later there comes a time when I want to unregister the handler and disable dragging with 

    widget.getElement().setDraggable(Element.DRAGGABLE_FALSE);

However the widget is still draggable. When I look in Chrome Dev Tools, draggable-"true" is still present. I've also tried

    widget.getElement().removeAttribute("dragable");

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