There is still at least one important factor left out of that equation. That being the energy absorbing capability of the rigging line itself. Another would be more difficult to quantify, but that being how the groundman manipulates the rope through the friction device.If you're referring to the doubling of the load at the change of direction point, it's the deflection angle more than just the number of rigging points that matters. You can still have load-multiplication (more than L) at any part of a multi-point rigging. So, while there's some load sharing, in the illustration below the four rigging points are "sharing" a total of almost 4 times the actual load (3800 lbs).
View attachment 30094
I would also consider that the rigging points are distributing the load. While the angle of deflection can create load multiplication, the bisect of that angle of deflection also exhibits the direction the force is applied. I believe that is what the drawing is attempting to impart. This may be why you put the word 'sharing' in quotes. To my mind, sharing sounds more linear, where I think this is more about vectors. The direction of force is most critical to us, since one of our goals is to put the tree into compression when applying forces to it.
You are correct that each rigging point is now applying a load to the tree from its own location, but when these forces are in compression, the potential/theoretical 2:1 becomes less important.