I don't think you can propagate. Seems like styleFunction is for something completly different. But you can access any CSS property
var styleDecl:CSSStyleDeclaration = StyleManager.getStyleDeclaration("YourTagOrClassName");
and then:
styleDecl.getStyle(property);
If you want to get style declaration directly from the AdvancedDataGrid you have to get renderers listData:
<?xml version="1.0" encoding="utf-8"?>
<mx:Canvas xmlns:mx="http://www.adobe.com/2006/mxml"
implements="mx.controls.listClasses.IDropInListItemRenderer">
<mx:Script>
import mx.controls.dataGridClasses.DataGridListData;
import mx.controls.listClasses.BaseListData;
[Bindable("dataChange")] private var _listData : BaseListData;
public function get listData():BaseListData
{
return _listData;
}
public function set listData( value : BaseListData ) : void
{
_listData = value;
}
override public function set data(value:Object):void
{
super.data = value;
if (this.listData)
((this.listData as DataGridListData).owner as AdvancedDataGrid).getStyle(...);
}
</mx:Script>
</mx:Canvas>