Hello,
Went to the genius bar today and wanted a replacement.
It would come out of a white box.
I told them that I do not believe that the iphones are new that come out of white boxes. They are ones that are customer returns. Given the fact that very few people return an iphone b/c they don't like one after using one, I believe that these units are likely scratched/dead pixels/dirt, or other general unpleasantness.
The manager of that store told me that the white box ones come in with the shipments of the brand new retail box units each day. And they are too new to have refurbished iphone 5's. She said that they are not refurbished. She said that any iphone, even if refurbished, would have a brand new screen, battery, back plate, everything. The only thing that might be reused is the processor or other "nonconsumable" parts.
How truthful was she? She was trying to steer me to a replacement instead of returning and buying a new one whenever they get more stock in, likely in a month.
I could care less what they call it. I just do not want to keep inheriting other people's problems, which is the only reason I think that I have to buy brand new.