Hanging wasn't the preferred method of capital punishment and it certainly wasn't confined to murders nor was it only used when there was 100% certainty. There's a whole religion built around protesting Rome's capital punishment.

I would say the most common hangings were the lynching of black people in the US. But even that saw competitive use of guns and automobile or horse drags. Nor was guilt firmly established prior to the given cases.

The issue with addressing it is there's too large of a surface area that can be misdirected to some other part of it.