No. Even if the version in that video is a prototype, the Wii U will NOT be able to run it without having downgrades. The video is 1080p native with high quality anti-aliasing(0 jaggies anywhere), features dynamic/real time lighting and shadowing and some particle effects, character models and environment models that have high polygon counts and so on. There is no way the Wii-U can render all of those without running in an unplayable frame-rate. Don't overestimate the Wii-U. I doubt even the Ps4/Xbone will be able to play it perfectly without any minor downgrades(they will most likely lower the anti-aliasing like what they did with FFXV).

So far, wii u has proven to run things more impressive than that at 720p and smooth 60fps. the most "impressive" part of KH3 footage was the stone titan, but even that was in an empty area, with just the titan, train, party characters and some mountains being rendered.

My previous post remains.

The titan part was the least impressive in the video. The titan itself probably has less polygons compaired to Sora and the others. It had little texture work as well. The environment is small and limited. If the whole game featured something like that then yes it could run on a Wii-U albeit, with minor downgrades still as they still had very high anti-aliasing which the Wii U is just not capable of.

I have not seen a single game from the WII-U that featured, realistic dynamic lighting and shadowing with that many polygons on characters and environemnt plus having high quality anti-aliasing. Xenoblade X, while is visually impressive, especially with it's texture streaming and vast lands didn't even have those and it's running at 30fps(the video they released that was 60fs on Youtube was not running at 60fps at all) and at a lower resolution than 1080p.