The whole beam might flex/bushings flex, but the toe doesn't change in relation left vs right from any built in geometry(aside from the tiny amount I mentioned due to it swinging in an arc). It DOES change as a whole which is what you're experiencing. You are seeing the change in toe from a big change in the angle that the whole beam is at.
Vision this:
Beam is perfectly level front to back.
Toe in is 0.5 degrees total. Camber is 0.
angle the beam front upwards(or rear downwards. This simulates lifting the rear body end just like you did)... until the beam is at a 45 degree angle. Now you have 0.25 degree toe and 0.25 degree negative camber.
It's not completely independent like an IRS, if you gain toe on one side, you gain it on both as the car jounces... not toe in one one side and toe out on the other like just about every other car.
I do agree that limiting the toe in the back with the rear beam brace deal/"sway bar" will help though with your rotation problem.
(Nice build by the way... I went there to look for the toe change thing and ended up reading the whole damn thing about. You've got similar goals as I do with my 2... mine is black as well, hope to start fiddling with it in a few months)