Here’s the thing. You said a “cockatoo is a parrot.”
Is it in the same family? Yes. No one’s arguing that.
As someone who is a scientist who studies parrots, I am telling you, specifically, in science, no one calls cockatoos parrots. If you want to be “specific” like you said, then you shouldn’t either. They’re not the same thing.
If you’re saying “parrot family” you’re referring to the taxonomic grouping of Psittaciformes, which includes things from macaws to lorikeets to cockatoos.
So your reasoning for calling a cockatoo a parrot is because random people “call the ones with crests parrots?” Let’s get party parrots and Kakapos in there, then, too.
Also, calling someone a human or an ape? It’s not one or the other, that’s not how taxonomy works. They’re both. A cockatoo is a cockatoo and a member of the parrot family. But that’s not what you said. You said a cockatoo is a parrot, which is not true unless you’re okay with calling all members of the parrot family parrots, which means you’d call Keas, Corellas, and other birds parrots, too. Which you said you don’t.
It’s okay to just admit you’re wrong, you know?

Created for /r/partyparrot