It seems unanimous that it should be left the way it is (and I AGREE!!!), but I'm going to give a bit more background (all IMO, others certainly know more than I do, and may correct me...)
The stabilizing/dying process works quicker/more completely on less dense areas of wood at a given amount of vaccum (i.e. they get dyed more easily and in many cases less dense areas become darker than more dense areas) The parts of your blank that are not dyed are the MOST DENSE parts of the blank, so they are going to be more difficult to dye/stabilize, and in the end. it may not be possible (they are just TOO dense). Also, if you manage to get them to take some color, without using the SAME color and at the SAME concentration as the original process, the color will not be the same, drawing more attention to it.