Assuming your batteries are IDENTICAL in every way. Age, manufacturer, ratings, ect.......
Then you can ALMOST add C ratings. Unless you can measure the "Source Impedance" of each pack, you should derate by a good margin to be safe.
if just one of these is not true then your asking for trouble.
A "C" rating is really a point where "heat" generated from a battery is WITHIN the batteries ability to safely "dissipate" that heat. You can say that the "C" rating is technically a way of specifying safe operating temperature. An important characteristic that determines this is "Source Impedance"
When battery packs are assembled, ideally the impedance variation Cell to Cell is exact. When under load, each cell should discharge at the same rate. Because of cost and other considerations cells are within a range of each other and not exact, hence the need to balance charge. Variation can exist by the same manufacturer. Some packs could easily meet the desired C rating for that model while others could be marginal. Without measuring, You would have no way to knowing.
So, all that said, using the hose analogy above.....
One hose may be exactly 1/2 diameter while the other is 7/16. Which of the two is going to empty their reserve faster?