You could create a plugin using hook forumhome_loggedinuser and this code:
Code:
$loggedin['lastactivity'] = 0;
The users will still show up in the count of users online but the name won't appear. If that bothers you you could probably change $loggedin[musername] instead so that a user would show up but something else in place of the user name.
This works for the forumhome page, but if the users online is showing anywhere else you'll have to address those separately.
BTW - was this objectionable user name by any chance someone who seems to have a problem with paying taxes? We had one of those a couple days ago.