I care more about suffering as a matter of totality and spread than a matter of the individual. Boundaries balanced with count of affected.
For example: UBI will increase suffering by taxing people and harming the economy, over the alternative of no welfare system (my proposed UBI system requires a lower tax than our current welfare system, so it's not a real trade-off on the large scale); but it also ensures that nobody will be homeless and nobody will be hungry, even though the poor and unemployed will fall into a situation of terrible housing and food and a hellish life. (It also provides for easier upward mobility by eliminating the welfare trap...)
On the other hand, I prefer a partial public healthcare system to a full one. Supplying clinical services for free has a small economic impact (infliction of general suffering), but a huge economic gain (alleviation of general suffering). Improvement of the general baseline health affects the poor greatly. Failing to supply a public health system for cancer and HIV maintenance--expensive services--results in a few people suffering greatly; however, attempting to supply a complete system bears a huge weight on all, pushing more into these situations of managed suffering, and significantly harming everyone else.
UBI: Less suffering. Inflated welfare system as ours: More suffering. Full clinical healthcare: Less suffering. Full healthcare: More suffering. It's more complex than a cherrypick.
In the same way, making people face death makes them more sensitive to death. We've comforted ourselves by making death appear peaceful with a slow, terrifying numbness that cannot be expressed by a dying man. The sickening crack of a man's neck or the image of his head being severed from his body would remind us of the fatally destructive thing we do. Perhaps we would then be less sensitive to the idea of execution seeming uncivilized and more sensitive to the idea of execution occupying a place in society which we find disturbing, a place where we send a man only on the strictest confidence that it is just, and regret doing so even before we enact the decision.
Look at the discussions on execution. People want to lock someone up "because he might be innocent", and talk as if they could throw a man in jail for 20 years and it's okay because if they're wrong they just let him out. Imagine ... between 25 and 35 you're in jail. Imagine the social disconnect, the trauma. If you have a family, it's been destroyed; if you have kids, you miss seeing them grow up. If you have no family, you've missed the prime time of your life to secure a mate and raise one. Your career has been destroyed. Your finances are destroyed. Your friends have moved on.
Just as people do not acknowledge execution correctly, so do they fail to acknowledge incarceration correctly.