Kinman,
No this discussion does not, but the reason is thoroughly explained in the thread linked to in my post #4.
In brief, the 44 Mag that the standard targets on your .45 are #d to match, was not a pre 29 at the time the grips were #d to it. It was produced as another N frame that did not get Cokes as a standard issue.
But Smith needed a frame to turn into a pre 29 which was a hot seller with greater market demand than most or all other N frames at the time, so the targets on it were removed, and replaced with the proper cokes for a pre 29. The standard targets were not discarded of course, they were re-used on a 1955 .45 target which happened to get a W spring and that you now own. Or some other N frame if your gun does not letter as being shipped with target stocks.
Targets were seldom serial numbered to a particular frame because they needed less fitting and were a more universal fit than Magnas. When they were #d, and re-used on another gun, they leave a trail of their former planned use (and confusion) as you have now discovered!