You didn't even read your own link, did you?

The entire cell shading process is new and all the textures come from the original HD textures created during development of the original game (which, as with just about all games, uses a lower resolution iteration).   So the textures are new.  They were not used in the original game.   They were drawn back then as part of the development process but that's how all games start.

Your link contradicts your thesis statement.

Being a game for the Wii U, The Wind Waker HD runs at 1080p, compared to the original's 480p. The remake uses an enhanced version of the original game's cel-shading, the soft-shading. It utilizes a full-fledged lighting and shadowing system that allows for more realistic and fuller lighting than the original.[6] The remake also features bloom lighting to give a sense of "surreal realism".[7] In low-light areas, the cel-shading gives way to a softer, more realistic shading system. The lighting from torches and other point light sources is now much softer and more realistic, and objects now subtly reflect the color of nearby light sources. Other shaders are used to increase the expressivity of characters. The textures used are the original high-resolution ones created during development of the original game, which used scaled-down versions of the textures to match the GameCube's hardware capabilities. 2D elements such as icons and the HUD are completely redrawn to match the style of the game's promotional artwork. Heat wave effects in Dragon Roost Cavern now only appear when the fire fountains are spouting. When Link uses a Warp Jar, the transition effect is a shrinking/growing circle instead of the fade-out in the original game. The shallow water in the boss room for Puppet Ganon, which in the original game did not reflect Link and some other objects, now reflects everything within the room. Though all other graphical elements were updated for high-definition display, the 3D models and character animations of the original game were left untouched in the remake.

Please stop contradicting yourself. 

So they reused assets and you're calling them because the platform is able to display the same assets in a higher resolutions?

The lighting technique used is different, yes. Textures are the same as they were. Only they didn't downsize them for memory purpose this time. The texturs sare still the same. Only higher res.

The fact that the animations, environments, 3d models and pretty much every polygonal assets in the game remained the same as in the original, that most of the code remained untouched, with glitches present in the original game still present in the HD remaster, is proof enough in any reasonable book that this isn't a "full on remake" as you believe it is.

Play the game in 1080p on Dolphin, do that side by side with the HD remaster. Notice how little differences there are. Then call it a full on remake again. 

Here, let me help you:

It doesn't matter what it is considered, I was trying to understand why Kyuu was "downright wrong" when he said that WW HD is not a complete remake.

If it was a statement intended to make people laugh, I get it too.

Yet, Nintendo themselves use the term remastered: http://www.zelda.com/windwaker/#new-features

"As the definitive version of the game, you will experience The Legend of Zelda™: The Wind Waker HD in gorgeous, fully remastered 1080p graphics."

I love how you just ignore sc59497(sorry if the numbers are wrong)'s argument. 

You know, they said the same thing about Ocarina of Time 3D's graphics.  Would you argue OoT 3D is a remake or a remaster? 

Ugh, it does make you appreciate the lighting and shadow upgrades though.