I agree until you say:
Are you saying it creates a moment about the 3-ring or is just a conservation of momentum? Either way I don't really see how that could happen.
As far as I can tell, leaning forward in the harness can only reduce drag and bring your COM up.
Obviously reducing drag increases speed, and lift along with it.
Think of it this way.
In normal flight, you are hanging slightly behind your canopy due to the drag you create, this pitches your canopy slightly forward and steepens your glide. If you decrease your drag, you will hang further forward below the canopy. This will pitch the canopy up slightly and flatten the glide, increase your speed (reduced drag) and put the canopy into a more efficient flying configuration.
Think of hanging a coin from the ceiling then blowing on it. It'll swing backwards. The ceiling in this case represents the canopy and is flying in a stable configuration so you can think of it as being "fixed". Difficult to explain exactly why.
Camera flyers - try suddenly opening your wings under canopy. You'll swing behind it, then go into a dive.
I think the canopy will also fly more efficiently as the AoA to the relative air will be more suitable. But I don't know that for sure....