Ok so now that we know how little you value human life my follow up question is, why not use techniques that would separate the hostage from the perpetrator? Why is it important that the criminal dies right that second?

Because a criminal exists any life they stand behind is forfeit so you can get to them? Sounds less like justice and more like blood thirst. This is the same mindset fueling police abuse around the world, so hopped up on militant “justice” they disregard the citizens they claim they want to protect.