The issue appears to be one of the way newer browsers have those pages of thumbnails showing most visited sites. If someone does tons of editing on a site, the J! admin interface is one of the favorite sites. The browser isn't aware of the secret admin parameter so it tries to get an image of the page using plain http://sitedomain.com/administrator - it does this X times (enough to trigger auto blocking) and that IP is blocked.
If the administrator is working remotely and is not white listed for that reason, they are locked out until someone else can help them or they get back to their white listed site.
Do you have any suggestions for dealing with this? Since now Chrome, Firefox and Safari do this - probably others. I've tried shutting off the feature in Chrome - all I could find is a plugin and I'm afraid it just masks the issue and hides the icons but still generates them.
Many thanks for suggestions on this.