If you thought that giving sclera/white parts to characters like Winnie the Pooh and Big Nate was a bad idea, let's remember when Hanna Barbera made the "brilliant" decision to ditch the dot eyes of Johan from The Adventures of Johan and Peewit, and giving him more "normal" eyes for no reason. He looks so wrong without them.
Wouldn’t Alien Horses and Alien Wyverns be able to work?