Sure, for nonviolent criminal offenses. It helps that accepting responsibility for one's actions (as demonstrated by turning oneself in) generally results in significantly reduced sentencing.
For violent offenses, and especially for high-profile murder cases, they don't give the suspect the option of turning themselves in.
> they don't give the suspect the option of turning themselves in
That seems a lot like the responsibility of the suspect? Like, if you're planning on shooting a high profile target in midtown Manhattan isn't the exit something to think about? Based on what information we might actually have, the shooter had plenty of carelessly missed opportunities to not be caught. Poor planning, in retrospect, is a choice.
For violent offenses, and especially for high-profile murder cases, they don't give the suspect the option of turning themselves in.