In this case, though, I'm not talking about a non-working internet connection for the Wii. I mean that the Wii would be just fine some of the time but would randomly not connect to the internet.
Meanwhile, the wireless relay point sitting less than a foot away from it would still work just fine, and it's the same story for the Wii at my parent's house except that the router is further away. These are two completely different routers in completely different areas connecting to different Wiis and they both have the same issues.
Maybe there's a certain level of interference the Wii just can't handle, but if the Wii can't handle it and the wireless relay can, then I can only conclude that the wifi antenna in the Wii just ain't up to snuff.