NO. The TLLTD does NOT change with lateral g unless you have non-linear springs. Its usually VERY constant unless you have some weird camber changes or a direct acting front bar and high steer angles or very high tire MX/FY action.
You and I have a very different understanding of FLLTD then. How can it NOT change?
At 0g the FLLTD is 50%. At the point of both wheels lifting, it is also 50%.
At any point between those two extremes, it is dependant on the RSD and the SWD.
In a 50/50 WD vehicle, with a non equal RSD, the stiffer axle will transfer load faster, up until the inside wheel is completely unloaded and lifts off the road, at which point the LT across that axle is 100%. The softer axle will be at less than 100% load transfer as the inside wheel is still loaded, and so the FLTTD at that point is not 50%. Past this point, the softer axle continues to transfer load until it to has transferred 100% of it's static load, at which point the FLLTD is once again 50%.
Please explain how you think it remains constant.
Just to expand on this some more.
At 0g, '0% LT', FLLTD is 50%. At point of both wheels become unloaded, FLLTD is also 50%. Lets call this '100% LT'.
Let's look at 10%, 20% and 30% LT.
2000lb 50/50 SWD, with a 60% front RSD.
At 10% LT there is 200lbs LT, of which 60% is taken by the front.
Front LT is 200 x .6 = 120lbs. The outside front tyre has 500+120 = 620lbs load.
Rear LT is 200 x .4 = 80lbs. The inside fear tyre has 500-80 = 420lbs load.
FLLTD is (620+420)/2000 = 52%
At 20% LT there is 400lbs LT, of which 60% is taken by the front.
Front LT is 400 x .6 = 240lbs. The outside front tyre has 500 + 240 = 740lbs load.
Rear LT is 400 x .4 = 160lbs. The inside fear tyre has 500-160 = 340lbs load.
FLLTD is (740+340)/2000 = 54%
At 30% LT there is 600lbs LT, of which 60% is taken by the front.
Front LT is 600 x .6 = 360lbs. The outside front tyre has 500 + 360 = 860lbs load.
Rear LT is 600 x .4 = 240lbs. The inside fear tyre has 500-240 = 260lbs load.
FLLTD is (860+260)/2000 = 56%.
Thus, FLLTD varies with acceleration.