Pizza as Pies

Pizzas really aren't pies. The word "pie" when used as a colloquialism meaning "pizza" doesn't float my boat. Pizzas are shaped like a pie, but there is no filling in a pizza. There is topping but no filling.

Pies. Like, really?

"Pizza pie" makes sense, because a pizza is shaped and cut like a pie, but just "pie?" That's too informal and confusing. A pizza is not just a pie, it's a pizza pie. "Pie," just "pie," suggests a lack of attention to detail. "Pie," just "pie," sounds sloppy and too irreverent.