Ok, I think this one has the automatic naming how you want it:

script: /* Assign unique object name to selection */ var all_objects = moi.geometryDatabase.getObjects(); var used_names = new Array(); for ( var i = 0; i < all_objects.length; ++i ) { var obj = all_objects.item(i); if ( obj.name != '' ) { used_names[obj.name] = true; } } var counter = 1; var name; while ( 1 ) { var numtag = counter.toString(); while ( numtag.length < 4 ) { numtag = '0' + numtag; } name = 'object_' + numtag; if ( used_names[name] ) { ++counter; continue; } used_names[name] = true; break; } moi.geometryDatabase.getSelectedObjects().setProperty( 'name', name );