The idea is to be able to prove that a photo you took was captured by a camera, not generated. That would be helpful in the context of a disputed news story, a court case, etc.
Would that ever be relevant for a screenshot?
Yes in multiple ways, and there's probably more than this:
It's relevant that a screenshot doesn't have a signature, in the case that you want to remove any "proof" or tracking info from a real photo when uploading an image. Maybe I don't want people to know what brand/model of camera I use.
And it's relevant if a screenshot did have a signature if you want to "prove" that the screenshot itself hasn't been tampered with after the fact.
It's not massively helpful for a court case, IMO. This has been handled the same way since the invention of photography: ask the photographer to swear under oath they took the photo. (technically, laying a foundation for the evidence)