10
Update...
Well, now...this is going to be a needle in a haystack, I fear.
I have a sister site, for testing...same theme, most of the same modules...but on a different host.
That one...shows the expected 2-column list when invoking "More" from the Who's Online Block... showing all the Guests as anonymous and what module they are playing in...when viewed as a Webmaster, you see the IP as well.
Back on the site in question...no matter what...it is only one column, with the names or IPs...no second column for module activity.
Since the "common difference" is 2 different servers....could it be a php.ini setting? I hate to have to do (another) side by side...I fought that one for the SMF Bridge.
Can someone far more learned that me take a quick look at misc.php (2.0.16) and see if there is anything obvious that should be checked in php.ini on the site's server?