Is the crackpot being responsive to the issues and giving arguments – arguments are what matter, not people – or is he saying non-sequiturs and refusing to address questions? If he speaks to the issues we can settle it quickly; if not, he isn't participating and doesn't matter. If we disagree about the nature of what's taking place, it can be clarified, and I can make a judgement which is open to Paths Forward. You seem to wish to avoid the burden of this judgement by hedging with a "probably".
Fallibility isn't an amount. Correct arguments are decisive or not; confusion about this is commonly due to vagueness of problem and context (which are not matters of probability and cannot be accurately summed up that way). See https://yesornophilosophy.com
I wish to conclude this debate somehow, so I will provide something like a summary:
If I understand you correctly, you believe that (1) induction and probabilities are unacceptable for science or "critical rationalism", and (2) weighing evidence can be replaced by... uhm... collecting verbal arguments and following a flowchart, while drawing a tree of arguments and counter-arguments (hopefully of a finite size).
I believe that you are fundamentally wrong about this, and that you actually use induction and probabilities.
First, because without induct...