After trying with the free ChatGPT at least, I don't think this would be too much of an additional privacy risk. E.g. I submitted a photo I've taken with a feature with a particular architecture style in the front, and a city canal in the background, and told ChatGPT it was taken in China. It separated the feature and canal correctly, but still guessed wrong. I did remove the EXIF information, as ChatGPT tried to extract GPS info and failed at first.

I guess as long as there are no major visible features (e.g. a huge mountain), and you sanitized the metadata, you will be fine (regarding ChatGPT).