That was kind of the point Greek can be kind of both a style of pie and toping combination.
I've only heard one person extoll the vertues of the greek pizza discribing it as "Like italian -somthing about oliveoil-" up untill then I kind of thought they were identical. Not really certain I could blind taste test them apart.
I know if you get an "authentic" Italian place making pizza you won't be able to get hawwaiian, they tend to be pretty strict as to what you can have for toppings. "Eh, you don't a put pineapple on a pizza, what's a matta with you?"