Wow. You really, really fail at understanding our English law heritage, don't you?
Blakstone's ratio was wholly in the realm (and context) of the judicial process answering exactly the question: which is it better do, to err on the side of convicting the falsely accused, or to err on the side of mercy to the guilty?
And, given that the criminal often commits more crimes, it's reasonable to chose the latter: for there will be more chances to catch the criminal. Yet, if the innocent are killed through a wrongful execution, how may that be corrected? They are already dead, and you cannot give life back, can you?
You are simply derailing the topic as we are going off tangent to the original topic. But that is beside the point.
You say “And, given that the criminal often commits more crimes, it’s reasonable to chose the latter: for there will be more chances to catch the criminal.”
Not if that that criminal is a murderer and is going to murder again. Plus, there are 10 of them. More murderers on the lose is NOT going to good. The Constitution guarantees due process. Follow the process and execute!