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If you asked me, I would ask what sort of dog? or which dog? If you said, "it doesn't matter", then I just get some random dog. It's a bit like a slideshow of dogs. If you asked me to describe it, then it would be some fantasy dog or I might zoom in on a dog that I actually know.
I have bits of what could be called photographic memory. In school I would "snap" pages of notes and then in the exam recall the page and "read" it for the information required. I never actually tested it to see how many pages I could save and recall like that. Probably less than a roll of film.
Will look at @r721's links. Very interested.
So yeah, there's an image of some sort there, but it's certainly nothing like a high-res photograph or anything.
Even things that are highly visual, like Chinese characters that I can write from memory, I don't copy them from mental pictures.
On the other hand, when I listen to music, I easily pick apart all the different elements and know their textures, kind of like flying and knowing what the terrain is via radar. It's still not visual, it's just knowing.
I'm really curious how common it actually is, because that's quite the discrepancy.