The problem with that is that the .45 Schofield was commonly called one of several things, but it was never called the .45 Colt or .45 Short Colt. It doesn't make sense that anyone would have to come up with a way to avoid confusing two cartridges with different names.
Do you think it could be that back in those days, people called it "45 long" or "45 short" not even knowing one was made for Colts and one for S&W? In other words, the full "45 long colt" came later?
Good point about that 45 S&W scholfield though, it does not go the opposite way.