Other than the .45GAP, I can't think of an .45acp "short" rounds. Longer ones, yes, but not shorter ones.
Was unaware of the .451 Jaeger, but it makes sense, it wouldn't have anything other than a curio interest in the US, though.
The .45 Schofield (.45Government) is shorter than the .45 Colt, and was adopted by the Army along with its pistol. Both work in the Colt SAA, but only the shorter round would fit in the S&W. The era not being known for precise terminology in common usage, many might not know Colt or Schofield, but did know "long" and "short".
The .45ACP round was specifically crafted to replicate the ballistics of the .45 Schofield, in a semi auto.
Longer rounds that I know of are the .45 MARS round, .45 Thompson, neither ever widespread and both long gone, and the more modern .451 detonics, and the technically still produced (seasonal) .45 Win Mag.