Broken beads are common Roseanne....I've seen and received money for broken Longevity dZi's And I've seen a lot of broken beads used in Asia.
Ring's and Penchants mostly. Most of those capped Pame Rika beads are ancient with cracked ends.
And, as we all know, I some cultures beads are even chipped and ground into medications.
It seem to me, that a bead never runs out of usefulness.
When I asked around overseas, the answer I got the most was
" that was grandma's favorite bead. Or a brother or parent. They help us to visualize the person we are thinking about.
The photos you posted look very much like broken beads in use that I've seen and was unable to buy because of that reason, (to remember someone)
So....keep on beading
Your stuff liiks GR8