Irony: the real killer was arrested 2 days later and had the murder weapon on him, but it was never matched against the Austin murders. He killed himself in 1999.
https://en.wikipedia.org/wiki/Robert_Eugene_Brashers
And I suppose your loved ones should then kill their loved ones...
And so it goes..
Your world is a perfectly coherent world. Under those circumstances, I accept those outcomes.
I would prefer sequestration for murderers, but if it's not available, killing the first unjustified murderer is fine, and if that's not available I accept the convex hull.