Cartridge headspace can be defined as “how much the cartridge case moves forward and backward in the chamber upon firing when the breech or action is fully closed”.
headspace is simply the distance between the head of the cartridge case (the end where the primer is inserted) and the front/face of the firearm's bolt when the case's shoulder is positioned against the front of the chamber.
"For every complex problem there is an answer that is clear, simple, and wrong." H. L. Menken
Neither of the two quoted definitions of headspace is correct. They define what is called
head clearance (see SAAMI glossary). Head clearance is the amount by which chamber length is greater than the cartridge requires to fit into it.
Head Clearance = Headspace – Space Occupied by Cartridge Case
When you over-resize a case, you shorten the portion of the headspace occupied by the cartridge, thereby increasing the head clearance. But the headspace is cut into the chamber, so it remains the same.
In the SAAMI system, measurement of the case seat location is defined by the headspace datum. In the CIP and NATO systems, it is defined by the location of the shoulder and body intersect for rimless bottleneck cartridges, same as we did it here until SAAMI came up with the datum approach (sometime after WWII, I infer, from the way the dimensions are defined in publications). The advantage of the datum method is the datum has the same size and location on both chambers and their cartridge cases. However, that is also what has lead to the confusion.
The space in the chamber that is occupied by the cartridge case in the above equation has commonly come to be called "case headspace" or "cartridge headspace" but they are not in SAAMI's glossary as proper terms. I am convinced they came about because of the RCBS Precision Mic, and Stoney Point case comparators. These tools measure a
fireformed rimless bottleneck rifle case as an indirect or transfer measurement of the chamber's headspace, and their instructions correctly call that a headspace measurement, even though it's not direct nor as precise as a direct measurement (owing to brass springback). But people seemed to get confused by being asked to measure a case to find headspace, and pretty soon many started to think any case measurement from head to datum, fireformed or not,
was the headspace. They were wrong. But the misapplied term has stuck in one way or another, as the two faulty definitions I quoted at the start of this post illustrate. The only thing I know to do until a better term comes along and since the misuse won't seem to come out of the vernacular, is to be careful to modify it by putting the word "case" or "cartridge" ahead of it as mentioned at the start of this paragraph.
In past posts I've called for creation of a term for this. The obvious candidate is headsize. It parallels headspace, but has the same intrinsic confusion caused by the fact the head isn't the only thing included, except in rimfire cases. Casespace is another candidate, but still can be confused as meaning headspace. Suggestions would be welcome if someone has a better idea.