Weight transfer is a function of total weight, acceleration, CG height, and wheelbase. The only way in which springs can affect weight transfer is if they change one or more of those 4 parameters.
Perhaps more important than the amount of weight transfer is the manner in which it’s distributed on launch. The driveshaft torque is tending to unload the right rear, so it would be nice if most of the weight transfer headed towards the right rear. And, it would be better yet if the right side bias of that weight transfer is directly proportional to the driveshaft torque. You mention that you have adjustable coilovers at the front, so here is where you should start. Install a spring with a higher rate at the RF than that at the LF. If you select the proper spring rate, the rear wheel loading can remain equal regardless of driveshaft torque. To determine the effectiveness of such a setup, use a traction dyno. Details of the proper front spring rates and the traction dyno can be found at: