How to get parent values ​​of template binding in nested binding?

I have a knockout pattern:

<script type="text/html" id="list">
  <ul data-bind="foreach: items">
    <li data-bind="{text: name}"></li>
  </ul>
</script>

What I use like this:

<div data-bind="
  template: {name: 'list', data: itemList}, 
  myBinding: {itemType: 'foo'}
"></div>

I have a binding handler myBinding:

ko.bindingHandlers.myBinding = {
  init: function(element, valueAccessor) {
    var bindingValue = valueAccessor();

    alert ( bindingValue.itemType );  // alerts "foo"

    // now set up a jQuery click handler
    $(element).on("click", "li", listItemClickHandler);
  }
};

And an event handler:

function listItemClickHandler() {
  var bindingContext = ko.contextFor(this);

  alert( "bindingValue.itemType ???" );
});

Is there a way to get the itemTypeparent template, as provided in the user binding, in the click handler, although knockout bindingContext?

• Without adding some fake CSS class, such as .type-foo, to <ul>(what am I doing now).
• Without saving "foo"to an array element during myBinding.init().
• Without binding the event handler, use the close variable ( bindingValue).
• Without using jQuery event.dataobject. I could do this, but I would like to get it from the context of the knockout binding, if that is not possible.