Link never thought of himself as a hero or savior.
In his opinion, there are no real distinctions between heroes and villains; it's just a matter of perspective.
Some people perceive a person as a hero, while others perceive the same person as a villain.
For example, all the races of the alliance considered King Allen the greatest hero of all time. Not only humans, but all the other races respect him too.
Even the dragon race teaches their children about his stories, as he was a symbol of absolute power.
King Allen not only united nearly all of the races of the world; he created a language to connect everyone and also took a lot of measures to eliminate racial discrimination.
His name spread all over the world, and he was admired even in the most remote corners of the world.
He was the reason why the demon race nearly went extinct from this solar system and got confined to a small continent.