"Yes if you can solve the halting problem" is better than a "no". It's "no, and there are mathematical proofs why it will never be a 'yes'". More realistically

"Yes if you can solve the halting problem" is better than a "no". It's "no, and there are mathematical proofs why it will never be a 'yes'". More realistically, you're more likely to hit "yes if there is compelling evidence that $choice is better than $status_quo with respect to $criteria". Sometimes that sort of evidence is expensive-to-impossible to demonstrate such that it's basically a "no", but again, it's a much more specific "no".