Elements don't work like that
Elements are I assume the equivalent of fragments. The element method is used to return the contents of an element (a file containing a chunk of view code):
echo $this->element('some'); // output View/Elements/some.ctp
Fetch is for returning a view block
Fetch is a method used to return the contents of a view block - some pre-rendered, in memory string:
// app/View/Common/view.ctp
<h1><?php echo $this->fetch('title'); ?></h1>
<?php echo $this->fetch('content'); ?>
<div class="actions">
<h3>Related actions</h3>
<ul>
<?php echo $this->fetch('sidebar'); ?>
</ul>
</div>