That is a excellent point, I hadn't thought of that, I just assumed all humanoids are about the same, but your totally right

All the extra pointy bits could be good for puncturing multiple organs at once

Physics does not work that way, you insolent fool!

Regardless of Klingon muscles, the fact that the blade sticks out sideways from the handle creates a lever arm that tends to make it droop due to gravity whenever it's held horizontally. Even if Klingon hands are different, they're not that different that it's somehow advantageous to keep torquing upwards so the blade points at the opponent instead of the floor.