All carnivorous fish are predatory by nature...whether they include your other fish in their diet is a different story. Size/feeding habits/temperament all come into play.
That is the first time I have ever heard that. Also, I have never known it to be true. A carnivore is one that has a primarily meat-based diet as opposed to an herbivore who's diet is mainly plant-based. Meat can from many things that are NOT fish-based. If I am wrong, please show me supporting evidence.
If you put it the other way around - Predators are carnivores, I would be more inclined to agree.