I don't need to put a lot of thought behind simple matters like this, it doesn't require it. You're too caught up in searching for nuances when it's simple.
Let's see, you think
this perp will be miraculously found "not guilty"?
Judge: "I sentence you to death."
Firing squad: "Bang!"
Next day: OMG! that guy was innocent! It was some other guy who shot the case worker, the doc shot a guy who he owed money to."
Like I said above, the standard of proof needs to be pretty high, but there are a lot of cases like that where there is no doubt, not just a reasonable doubt. Unless you are a Hollywood screenwriter.