Click event does not fire on nested elements inside li tags

When using the optionsItemBuilder function and add new tags, click event does not fire on new elements. It happens because return false; in this part of the code

_this.$li.on({
  // Prevent <input> blur on Chrome
  mousedown: function (e) {
    e.preventDefault();
    e.stopPropagation();
  },
  click: function () {
    _this.select($(this).data('index'));

    // Chrome doesn't close options box if select is wrapped with a label
    // We need to 'return false' to avoid that
    return false;
  }
});

Search the optionsItemBuilder implementation for the shown _this.$li mousedown and click handlers, then reproduce the problem with a nested element inside an li. Check that clicks on nested elements fire while preserving input blur prevention and label behavior; done means the new elements respond to clicks without breaking option selection.