I like your definition and your thought process.
Although I still think photography can achieve the level of art. And to me, beauty and art can be in the eye of the beholder. Therefore to me a photograph reaches the level of art when it evokes a deep emotional response from a viewer. And we can legitimately disagree on each given piece. Which is no different from a sculpture or a painting or a piece of music.
I don't however believe that because someone dreamed something up or created something that it automatically becomes art.