I think the one in the article was even more appropriate, as it's about adding something that the original label explicitly excludes:

"I'd been asking for the equivalent of a black coffee with milk. "

One of the bars near my University back in the days only had cheeseburgers on their menu.

So I ordered a cheeseburger without cheese. Laughter ensued and I was forever stamped an idiot.

That's why I moved to Japan.

A friend of mine who used to work at McDonalds, told that "custom" burgers are always made to order, so he advised that if you want a fresh hamburger, order a cheeseburger with no cheese - you'll get a fresh made to order hamburger and cheese on the side.

Exactly. This is such a stupid, nonissue article. Relying solely on ignorance of what pizza names mean.