I'll post the definition of "Remake" from the wikipedia.
"A video game remake is a video game closely adapted from an earlier title, usually for the purpose of modernizing a game for newer hardware and contemporary audiences. Typically, a remake of such game software shares essentially the same title, fundamental gameplay concepts, and core story elements of the original game.
A remake typically shares very little of the original assets and code with the original game, distinguishing it from an "enhanced port," partial remake, or remastering.
Remakes are often made by the original developer or copyright holder, sometimes by the fan community. If created by the community, Video game remakes are sometimes also called fan game and can be seen as part of the retrogaming phenomena."
After looking at the definition I wasn't sure but then I found a link at the bottom of the page: "List of video game remakes"
Wind Waker HD appears there and it has a couple of notes to justify the inclusion: Wii U, remake, features rebuilt textures, models, music and sound as well as new content and features.
"I've Underestimated the Horse Power from Mario Kart 8, I'll Never Doubt the WiiU's Engine Again"
