Hooray! Santa brought me a Wii for Christmas. Boo! Attempting to connect to the internet gave me error code 52030.
The set up I have is a Wii and a D-Link WBR-2310 wireless router. Usually, this router just works without any problems. But, it sure didn't like my Wii. I went through a whole swath of experiments with the settings, but I could not find a solution.
However, after a while, it occurred to me that I should try a firmware update for the router. And, Hurray! the firmware upgrade fixed it all. Now, I can enjoy the best weather forecast available and participate in odd polls.
So the lesson is, the D-Link WBR-2310 with firmware 1.02 does not work with the Wii, but upgrading to 1.04 does.