Thanks, but that isn't really what I was looking for.
I could just as easily increment a static counter after each query. I am curious to know if, maybe somewhere hidden, a total number of queries performed on a single object is counted or can be easily counted.
i.e.
$db->query();
...more code...
$db->fetchOne();
...
$db->numRows();
...
echo 'Number of queries: '.$db->getTotalQueriesPerformedInMyLife();