I don't need to convince myself what a Type is, but I don't like naming a cat, a dog.
You could have a cat, who's name is dog. So would it be wrong to call it a cat if he's called dog? Or calling it dog, even though he's actually a cat? What would you call it?
I would call him Zeke, just to confuse people. And correct anyone who would try to call it cat or dog. Or Zeke.
The word global is an adjective, so you can use it to describe things. I don't think it has been misused here.