Well, it's dependent on what you do after said kong/jump. Adam was right in regards to standing and jumping, but like Gregg said, you could simply crouch before you dropped, and then there wouldn't be much height difference.
If you're not going straight into a roll after the landing, then a kong would have much more impact than a jump, solely because you're not only stopping your downward momentum, but your forward momentum too. There seems to be an incorrect general consensus, like with what David Johnson said, "With the kong vault, you're moving forward a lot more, less downward momentum to deal with." Simply adding forward momentum does not take away downward momentum. X and Y are completely independent of one another, so by increasing or decreasing one, you cannot increase or decrease the other.
However, if you're going into a roll, you get a MUCH more efficient roll when you're moving forward than when you go into a roll from a dead stop. Also, with the roll, barely any of your forward momentum is translated into impact, because you're still moving forward when you roll.