Grizz, I'm not following all that. I have no doubt you understand it.
I look at the ridgeline as a limiter. It limits the 'minimum sag angle' of the hammock as long as the sag angle of the hammock suspension lines are less than what the ridgeline sets the hammock sag angle to.
The more the ridgeline is doing its 'limiting thing', the lower you can tie the suspension lines on the supports to get the hammock to end up at the same height above the ground. You put more force on the hammock suspension lines (and the ridgeline) the more the ridgeline does its 'limiting thing' as well.
From that, I conclude that you don’t get something for nothing when you use a structural ridgeline. One way to look at it is that you are lowering how high you attach your hammock on the supports by applying brute force tensioning on the suspension lines. Another way to look at that is that you are applying brute force to raise your hammock rather than just tying it higher on the supports.