The half cock's only purpose is to prevent the hammer from following the slide as it goes forward in case the hammer sear engagement is not adequate. I have never seen a bullseye 1911 with a hammer sear engagement that would hold if the slide were dropped on an empty chamber. Likewise I have seen numerous stock 1911's which would do the same thing. In these cases the half cock is performing.
The half cock notch will break when these pistols are dropped on the hammer. The same thing occurred with Old Model Ruger Single Action revolvers with the hammer down on the so called safety notch.
I have seen cops carrying 1911's on half cock. In every instance I convinced them that cocked and locked was a safer mode. My WW2 uncles trained me on the 1911 and forbid me to carry it with a loaded chamber. The 1911 is one of the pistols in addition to the P.38 that I grew up with. I carried both in condition 3 while fooling around in the woods.
Newer Colt 1911's have the half cock at a different location. With these the hammer position is nearer to the slide.
There are reasons that the 1911 is obsolete. I laugh at the foolish prices that many charge today to work on one. I well remember when most gunsmiths knew how to repair them in a satisfactory manner. I have sat and watched these pistols being repaired. It ain't rocket science.