I knew I'd get a comment like this eventually. There's no rational reason it should be adding this data at all, and there should be a way to disable this behavior. The camera I use doesn't add this data when I take a photo, and there's no reason taking a screenshot should do so.
The software version doesn't just say "Android 14" either. It looks very specific.
No matter how you look at it, this is not an acceptable way for a device to behave, with no way to change it in settings.