A little late maybe to bother getting into this thread, but I'd like to offer up my guess, if you care to test it out.
If you have access to a hardness tester, I'll guess the rings that cracked without deforming are much harder than the rings that deformed and didn't break.
That would indicate one of two things; the rings that broke missed a forging... not really likely, since the size would be amiss, or...
The rings that broke missed a heat treating. Looking at the pic, the broken ends look very "grainy". Heat treating, among other things, controls grain growth. It also tempers the metal to a specific hardness range- you want it to bend before it breaks.
Just my armchair guess.