A button that arrives with a surname running off the rim was almost never printed wrongly. It was designed to the diameter of the shell, which is not the area anybody can read.

A button is not a flat disc

The printed circle is larger than the shell, because it has to fold over the dome.

The outer band of that circle finishes on the side of the button, facing nobody.

And then it is crimped

The very edge tucks under the rim during pressing and disappears completely.

Between the curve and the crimp, roughly a quarter inch of printed diameter is gone on a 2.25 in button.

Which is why we quote four numbers

Shell size, printed diameter, bleed, live area. Only the last one is what a person reads.

A supplier who will give you only the first is not being dishonest, but you are being handed the least useful of the four.

Ask for the ring on the proof

A live-area ring drawn over your own artwork settles the argument in two seconds.

Anything important that sits outside it will not survive the press.