I just got this in Google Chrome when I typed in "thetvdb.com", hit tab, and entered my search criteria. I would think searches submitted from a live web browser wouldn't cause this "logging your IP" feedback - is something messed up?
I did do three or four searches this morning from my machine using the API (via Subler, I guess) but I wouldn't think that would run me up against any kind of limit...
I was able to go directly to the www.thetvdb.com
home page and enter my search there and get results, but I definitely prefer the shortcut of letting Chrome submit the search for me instead of having to load the whole homepage and click in the tiny little search box before I can submit my search.