I tend to call it a "pointer", to distinguish it from the text cursor, and because it can be controlled without a mouse (e.g. trackpad). However, I would like to use the same kind of language Apple uses, especially when writing instructions or tutorials for others.
I looked at some settings in System Preferences and found this confusing bit, which seems like it might conflict:
Is there a difference here? Or is Apple just using two terms to mean the same thing?