I think that it is important that people understand the difference between Inductive Reasoning and Deductive Reasoning and why Metabunk relies on Deductive Reasoning in examining claims.
I disagree. I think a lot of what we do here is more commonly abductive reasoning, briefly mentioned at the end of your post. Although I don't think their explanation is very good.
But really "reasoning" is sometimes too high level a descriptor for what goes on. Quite often it's just "fact checking".