Of course, there are a lot of other factors that affect (or even completely change) the car's balance, such as brake balance, type of transmission, engine power, etc.
But generally it is true, that a longitudinal weight transfer from front to rear causes major reduce in front traction, while only minor reduce in the necessary lateral force on the front axle.
And a longitudinal weight transfer from rear to front causes major reduce in rear traction, while only minor reduce in the necessary lateral force on the rear axle.