I don't think it's irresponsible to suggest to readers that they can use an AI chatbot to examine any given image to see if it was AI-generated. Even the lowest-performing multi-model chatbots (e.g. Grok and ChatGPT) can do that pretty effectively.
Also: Why stop at one? Try a whole bunch! Especially if you're a reporter working for the BBC!
It's not like they give an answer, "yes: Definitely fake" or "no: Definitely real." They will analyze the image and give you some information about it such as tell-tale signs that an image could have been faked.
But why speculate? Try it right fucking now: Ask ChatGPT or Gemini (the current king at such things BTW... For the next month at least hahaha) if any given image is fake. It only takes a minute or two to test it out with a bunch of images!
Then come back and tell us that's irresponsible with some screenshots demonstrating why.