OK I hand edited bounce.php to have the correct (for me) table name and it seems to work now. That might be something they want to update in the actual script, so it works for all people going forwards.
When I look at that user's information in the control panel, I don't see anywhere that it lets you know that they do or do not receive email from admin people. That would be a very valuable thing for me to know when looking at people. Can this be an enhancement request for the next version? I am fine with using this bounce script to remove the mail checkbox on peoples' accounts, but it would be nice to visually see that status on their control panel area.