I like this guy's video and explanation and while he is definitely wrong on the eDRAM part, the rest of it is pretty much the truth. The Wii U can do all the effects of the PS4/XB1 if the code is optimized and developed from the ground up for the system. Xbox 360 vs PC is a great example of console ports running badly or requiring a ton of overhead power on the PC in order to get those games running well.
Now about that eDRAM speed:
Basically the Wii U eDRAM is decently fast and could range from 51GB/s to 102GB/s (most likely the lower) but no where near 1000 GB/s. The 12.8 GB/s for the DDR3 memory combined with the fast eDRAM speed gives the Wii U at the lowest/worst case scenario a 64 GB/s bandwidth.
Nate in the video above seemed to only be referring to the theoretical performance of 1000 GB/s that the Playstation 4 could have been clocked at if Sony decided to put eDRAM in that console; nothing about the eDRAM that he mentions has anything to do with the Wii U only the fact that it has 32MB of it and that it's fast for what it is.
For more information on the Wii U eDRAM speed and details I just shared, you read up on it here: Link