The king pin doesn't move like the tandems do. It's welded in one place.
When the 5th wheel moves, the king pin doesn't move, relative to the trailer. The king pin would have to move relative to the loaded trailer in order to have any effect on the trailer axle weights.
The 5th wheel pivots on it's own little axis, ya' know how it tips back when you're un-hooked? It pivots so you can start the tractor up a sharp incline without breaking the king pin off. With the 5th wheel locked around the king pin, the weight of the front half of the trailer is applied to the tractor at that pivot point. And because it pivots, all that can happen when you move the thing forward is weight will be transferred to the steers. It's physically impossible for the trailer axle weights to change even the weight of a feather.
I think you're just having a hard time understanding the explanation from reading words on a screen. I'm the same way most of the time. I need to see diagrams or animations before it "clicks" in my head if I can't see something in real life.