I think the line can be drawn at adding information that wasn't originally available to the camera at that time.
So HDR photography (taking multiple photos milliseconds apart and merging them) is fine, because it's just using information that was available while you were standing there taking the shot. I don't see how this is really any different from a long-exposure shot in fact.
Using a polarizing filter to enhance the sky color and see the fish underwater is fine, because it's just using information available that time (and in fact, selectively ignoring some information, namely light polarized the "wrong" way).
Editing light levels differently in different parts of the frame is OK too because that light is still coming to the camera, you're just processing it differently.
Going online to grab ultra high-res stock photography of the Moon to enhance your shaky-cam photo is not OK, because that's adding information that the camera didn't have available to it (and worse, it's quite possible the downloaded information is inaccurate).
Going back to your White House example, what happens if someone takes a photo of the White House lawn because they want a photo showing the new trees or flowers that were planted or just bloomed. But Samsung downloads some stock photo to "enhance" the photo, and of course this stock photo was taken before the plantings, or at some other time of the year when the flowers weren't blooming. Now this poor sucker has a completely invalid photo showing something that didn't exist when he took his trip to DC to photograph the White House lawn, and probably won't notice until he looks through his vacation photos on a large monitor.