Personally, if I was going to code this, I would internally store the weight of the Pokemon, but for display purposes calculate the power of GK/LK and show those. This would have the benefit of supporting future moves (I hate to speculate, but in this case it is worthwhile to "future proof" the code for later generations) by being able to simply code a new weight to damage table and adding that to the display template.
With that, I am going to close this and add it to our sticky thread that contains accepted, good ideas.
Please keep in mind that inclusion on that list does not denote priority or schedule!