This is worrisome, at the end of the update to 3.3, after the database update:
Warning: parse_url(http:///wp-admin/index.php) [function.parse-url]:Unable to parse URL in /home/content/<...>/html/wp-includes/pluggable.php on line 943
Update Complete
Your WordPress database has been successfully updated!
OK
I haven't run into any issues in the 15 minutes since I updated, but I'm not sure whether to revert now and try again, just in case?