I've just had my first real try with Unity here but I think I managed to figure out what causes this.
What I did to get it to display when building for iOS was setting Import Settings
Format of the texture to Truecolor. After this I went to build settings and added the current, hit Build and it was displaying again.
Loading Image
If the texture is not square, iOS does not allow compression of it, so if you want to use compression you need a square atlas texture.
I hope this help.