I’ve said it before, but just because an argument isn’t sound doesn’t mean the conclusion must be false. I might argue that global warming is real because the sky is blue. That’s a non sequitur, making the argument unsound. But it may still happen to be true that global warming is a real phenomenon. When an argument isn’t sound, it simply means the argument does not support the conclusion. The conclusion may be true or false. The fallacy fallacy comes from concluding that a claim must be wrong because one argument proposed for it is not valid.