There's no evidence to suggest that 'atrayus horse' is a key element in 'The Never Ending Story'. The story has its own established set of important components such as the power of imagination, the battle against the Nothing, and the relationship between the characters in Fantasia. 'atrayus horse' seems to be an unknown or unrecognized addition that doesn't seem to fit into the main framework of the story as we know it.
Most likely not. The main elements in 'The Never Ending Story' are well - known, like Atreyu, the Childlike Empress, and the various fantastical creatures and lands. There's no indication that 'atrayus horse' has any significant role in the core of the story. However, if it's from a new adaptation or a very creative reinterpretation, it could potentially be made into a key element, but as of the original and most common versions, it isn't.