I’m familiar with what a slippery slope fallacy is, but you’re absolutely 100% arguing for the state to wield extrajudicial power here to kill a person who was not convicted of a crime. You’re not arguing in favor of the death penalty as-is, you’re arguing for an extension of the death penalty to account for cases in which the person was found not to have committed the crime they were accused of. This person surely committed the act of killing another person, but legally did not commit murder. I, for one, think it important to continue to have a legal system in place that does not allow the state to have someone *not* be convicted of a crime and then just be killed anyway, and I don’t think that’s so much empathy as it is a healthy distrust of governments to not abuse that type of extrajudicial power.