Jesse is a cold blooded murderer, accessory to a child murder, and participant in one of the bigest illegal drug rings ever.
I wouldn't say it's accurate to call Jesse a "cold blooded" murderer. Surely, his blood was not running cold when he committed the crime. It was the most conflicted he ever looked, and that act has subsequently unraveled him emotionally
When we talk about Jesse, what are we saying? Jesse has a conscience. That's why I'd say he's still worthy of keeping his wretched life, as opposed to someone we'd sentence to the death penalty, or like Walt, who perpetuated everything, & has such little regard for others, he'd poison a child with a potentially fatal substance
Walt watching Jesse's girlfriend die in bed because he disliked her... THAT'S coldblooded