Wrongful execution is more specific. The term you've chosen is broad enough to include regret for the loss of possible defense or prosecution testimony for other crimes and suspects, as well as regret for the loss of any possibility of future pardon, which is a forgiveness, inappropriate for wrongful conviction. Though pardon has been used before to expedite release, forgiving the innocent doesn't make any sense. Wrongful execution is far more heinous than the loss of testimony or pardon.
While true, there are better reasons to oppose the death penalty.[1][2]
[1] https://en.wikipedia.org/wiki/Wrongful_execution#United_Stat...
[2] https://en.wikipedia.org/wiki/Race_and_capital_punishment_in...