That’s just death sentence with extra steps…

Does petty crime that warrants the death penalty, and gets confronted while committing said crime:

Whelp, I’m facing the death penalty if I surrender or get subdued, so I might as well fight to the death, take hostages- anything really, as an alternative to certain death.

Leaves multiple casualties while fighting to the death.

Nice.

Are you sure about that?

This assumes that every prisoner has committed a crime and that the police do more to get at the truth than they do to close cases. Looking at history, these are really bad assumptions to make.