Sorry for late reply. Looks like a bug, but here is workaround:
1) In service ListItems on mapping from $ to mobilelistitem1_5 add the following JS:
codevar delButton = '<a data-icon="false" data-theme="a" name="DeleteButton" dsid="DeleteButton" class="mybutton mobilesplitbuttonitem2 ui-li-link-alt ui-btn ui-btn-icon-notext ui-corner-tr ui-btn-up-a" title="Delete" data-corners="false" data-shadow="false" data-iconshadow="true" data-wrapperels="span" data-iconpos="notext"><span class="ui-btn-inner ui-corner-tr"><span class="ui-btn-text ui-corner-tr"></span><span data-corners="true" data-shadow="true" data-iconshadow="true" data-wrapperels="span" data-icon="minus" data-iconpos="notext" data-theme="a" title="" class="ui-btn ui-btn-up-a ui-shadow ui-btn-corner-all ui-btn-icon-notext"><span class="ui-btn-inner ui-btn-corner-all ui-corner-tr"><span class="ui-btn-text ui-corner-tr"></span><span class="ui-icon ui-icon-minus ui-icon-shadow"> </span></span></span></span></a>';
element.append(delButton);
return value;/code
2) On success ListItems service add JS:
codeTiggzi("mobilelist1_4").listview("refresh");/code
3) On click on DeleteButton set Set local storage variable as on mobilelistitem1_5 click and place it before DeleteButton- Click-Invoke service action