Ah, yes. The network requirements part makes sense, as WiFi direct probably would require major modification to the code controlling the network layer. Not impossible, but so far beyond worth doing in complexity that it might as well be.Not possible. It has specific network and GPU requirements that the Wii does not have.
It also would require support for HDCP DRM, which is digital. No handshakes between the Wii/display so that's out.
https://en.wikipedia.org/wiki/Miracast#Functionality
There's just too many things the Wii doesn't support in the mandatory functionality, like 1280x720p30.