I know some woodshops have different options and some really cool stains and combinations of stains, so if a deck has an appealing stain, I am much more likely to want to take the graphic off to see more of the wood than with a board with a less appealing stain, or a natural bottom layer (which I have resprayed over when they were all like that).
At the end of the day though, I have taken off or sprayed over more graphics than I can remember, more so just wanting the certain shape and concave than a specific graphic.
The boards with the best graphics (most being full board graphics) are on my walls, the rest are under my feet, if that makes sense, but there are a few special ones with a lot of wood stain showing through as well.