The closest thing is in qa-config.php. Look for the line:
define('QA_DEBUG_PERFORMANCE', false);
Change false into true. Take into account it won't work for AJAX requests, you'll have to output them on your own.
When I want to see the SQL text of the query statements, I usually uncomment the php print statement at this line (it prints the SQL statement just "after" its execution) or copy it here (when I want to print the SQL statement just "before" its execution - useful in case of troubleshooting).
Not a very clean approach, but it works
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