There's a huge difference between LAN and the internet. And I assume the Wii U has some kind of dedicated RF channel for streaming video.
That said, 15ms network latency isn't too bad at all, considering that it takes your TV 40-80ms to display a frame through HDMI. Fortunately, with the advent of VR display manufactures finally took notice of this built-in lag. So that's getting better, too.