Appreciate the left-handed compliment, but I think we'd both agree that science isn't about certainty, especially in the venue of historical, one-off events.
I'm not sure I agree. Is it your contention that the rule holds (assume an error) based on some statistical analysis on the number of innocent convicted or is it, as I suspect, the specifics of this case which sway you?
We probably differ in that I do not go into the matter thinking the system is tainted or corrupt from the start. I don't think this can be assumed without proof. The mere existence of loose ends doesn't help. We do not need to explain everything to arrive at the conclusion Avery did it. But at this point, the onus is definitely on the defense, not the prosecution.
I'd suggest you pare away all the evidence you find doubtful and see what remains. If that is enough to convict, then none of the criticisms help. And frankly, "enough to convict" can be very little. Are you familiar with the case of Scott Peterson? Entirely circumstantial. And that's not even the strongest example of conviction without direct evidence or testimony.
Are you prepared to indict the criminal justice system generally, or only Avery's cause celeb?