>So how should I answer?

Like a human, not like a robot. Either just present them the answer or explain them how you got it.

So if you used claude you would preface with "Claude said: "

Sometimes I do that. The problem is that it makes them look bad.

In the end it's really just the same thing as with stackoverflow answers. If you knew how to combine certain keywords for an answer you were searching for, then it took you like 5 seconds to find the relevant SO answer for that. Even then people got mad about it 'why can't they just search themselves if it's so easy to find?' - well, maybe it's not that easy and obvious to a lot of people and that will get even worse now

Whose responsibility is that?

To be fair those are consummate and thoughtful politics. The industry is rife with those but that was part of why in leaving it.

Maybe not just "Claude said". If one of the issues is getting the right prompt, you might say what prompt you used.