Why would they dull at the same rate? You're dragging the entire edge along a material to produce the cut. You may need to do that significantly more frequently on a shorter knife to produce the same effect (a given length of cut along a piece of cardboard). Hence, more edge degradation per unit length, with all other things being equal.
If you're just pushing the knife through and the cardboard rides along the same location on the knife each time, then I would understand your point. But even then, you'll arguably have more ability to keep cutting with a longer knife of the same material, because you have physically more edge to dull in this fashion.
Either way, the logical conclusion is that a smaller knife might benefit from higher edge retention to make it perform comparably to a larger knife.