Hi Bron,
Every decade or so, someone suggests scaling saturation indices in some way, so they can provide a measure of the amount of a mineral that might precipitate, or so saturation indices of various minerals can be compared to each other, or both. Unfortunately, the SI is no more than a measure of the instantaneous energy that would be liberated (or consumed) if the precipitation reaction would begin to move forward. Trying to find a scaling that would add to this meaning is I'm afraid a fool's errand. I think if you were to take out pencil and paper and play around with the idea you mention, you'd agree.
HTH,
Craig