US English speakers consider pizza to be a kind of pie, yes.
It"s quite confusing for the rest of us (or at least to me) but that's how they talk. :)
It"s quite confusing for the rest of us (or at least to me) but that's how they talk. :)
Friends or colleagues who are used to eating a pizza together excepted. Maybe rarely someone could say "pepperoni pie" or "cheese pie" without being confused, but as you said the context makes the case in these examples.
For most of us in the room it was the first time we'd heard someone in real life call a pizza a pie, except when doing a bad Italian accent and talking about "a pizza-a pie-a" as a joke.