So I've been playing the new Zelda game for less than a month now, and me and some of the guys at the Gamefaqs message board(here: www.gamefaqs.com/boards/189707…
) have been looking into the horses, at first trying to get pictures an data about every horse color available in game. One user noticed that one of the random horse colors everyone claimed to Link's horse didn't match the horse in the trailers and at the endgame if you didn't have a horse(since it had tan hooves instead of black ones) so someone else took on the challenge of finding an exact match, and we did.
This horse however, was VERY different than a randomly generated horse though. It couldn't be found in the areas with the best horses, so it wasn't a normal possible color variation, it ALWAYS had a stat spread of 4-3-3 which no other horse in the game could have(making it unique like the white horse, giant horse, Lord of the Mountain, and Epona), and shows no variation in appearance besides short or long hair. This horse exactly matches Link's horse from his memories and the horse you get during the final battle if you don't have any registered horses at a stable.
A poster looked up the map data for the areas where the horse was found(originally Giant's Forest and highland Stable) and found that these areas corresponded 1 of 4 horse spawn sets the game used, and that it was indeed a different set then the areas that spawned the best horses. Above is a map of the areas that use this spawn set and generate Link's exclusive horse. We aren't sure why it only spawns in these areas only or why it has so many unique qualities that only the special horses have. Maybe the game developers planned to have a quest similar to the white stallion quest where you found the descendant of Link's old horse, but scrapped the idea and left his horse in as an Easter Egg. All we know is that this exact horse is a unique and unmarked Special horse with set stats and appearance that can be gotten multiple times if you wanted to.
So Easter egg hunters, go out there and get yourself Link's REAL BotW horse to add to your collection.