... but weight transfer doesn't depend on mass. It depends on CG height and wheelbase. There are plenty of heavy vehicles that can have larger lateral Gs than small vehicles.
A vehicle that weighs a few tens of grams, like an R/C car produces Gs similar to a vehicle that weighs several tens of tons, like a heavy truck. That's a variation of 1.000.000 times the weight.
Large vehicle, ~2 Gs
Small vehicles, still ~2 Gs
There is a small effect of weight on friction factor, but it was overlooked for centuries, it cannot be large.
I still think that there's no
direct influence of mass on cornering.
That's the reason why a pendulum clock works.