I don't think lynchings have been the only way human groups have dealt with crimes against innocents though, historically or presently.

And most of what you are talking about is behavior under capitalist or feudalist systems.

And most crime under those systems is born out of poverty.

I have not heard of the Zapatista's engaging in routine lynchings for example. The biggest threats to them have not been irrational lynch parties inside their society, it had been the capitalist forces outside of it trying to violently conquer them.

And again, I am not an anarchist, so I feel weird trying to speak too deeply past my own understanding of their positions or things I have some crossover beliefs in as well.