Ah, ya, nomenclature issue perhaps. Here in Canada typically notebook/laptop/etc are used to describe one and all, without major distinction. Go to different shops and you'll see "gaming notebook, gaming laptop".
There used to be elegant, ultrabook-ish type "notebooks" available with gaming GPUs, but no longer, at least not common. The Razer units that are very thin with a decent gaming GPU spring to mind as a notebook that can "game", but ya, you're right, the terminology is somewhat wonky.