Don't agree. While I still support the death penalty, I have reconsidered it too. I don't believe that re-thinking something as serious as the death penalty is a sign of weakness.
If there is good evidence that shows we are executing innocent people, then act on that evidence to correct it. Fixing a problem (assuming there is one) is not the same thing to "rethinking" the death penalty.
If 20 people a year die from accidental police shootings, you put procedures in to help prevent accidental shootings, you don't take away the cops gun.