Weight Transfer
So when you mention "weight transfer" in your original post, I was under the impression it would shift your weight forward on the ski but it sounds like just the opposite effect. On the trail its hard to keep that ski in the snow while accelerating out of a corner, I thought maybe the removal the front shock would help with that.
The middle shock (w/ spring on it) applies force to the FRONT of the track as the rear sunspension compresses. When you roll the throttle off at speed, the middle spring resists compression and applies force to the front of the track, keeping the ski feeling lighter. Less spring tension and/or entire removal of the spring will make the ski feel heavy when rolling the thottle off at speed (I have a 05 600HO w/ spring removed - shock still on). With the spring removed the track can pivot around the lower mount freely, allowing the track to begin to pivot up to follow the terrain better. IMO the spring was a crutch that helped them steer the hawks before they had a good ski design. Think about all the washouts w/ the original ski design if all the weight transfer was allowed to happen.
On acceleration, the track is being pulled by the belt at the rear in the same direction and assists the middle spring. You may feel the weight transfer quite a bit more as it allows more to go foward w/o the spring. I actually try to "ride the track" under acceleration and just skim the ski along, much like a big fat dirt bike in the sand dunes.
When it doubt slam that throttle!