First off, nothing (well....) is as complicated as vehicle dynamics, so my thoughts are by no means the absolute truth, but here they are anyway!
Weight transfer is not related how soft or how hard the suspension is. With the stadium supertruck there is so much suspension movement that the softer suspension actually increases weight transfer because the center of gravity moves significantly to the outside. Anything meant to go circuit racing has no real change in total weight transfer when changing the suspension stiffness.
What you can do with this fixed amount of weight transfer, in cornering, is deciding how much of that transfer is taken by the front tires and how much by the rear tires. The more the rear end takes (by stiffening springs and / or anti roll) the more oversteery the car will get. Or you can do the opposite, softening the front.
Sure you could reduce the front axle weight transfer, but by definition, the rear transfer increases as a result of this, as does your oversteer. So doing this may perhaps have a slight effect on inside front tire locking, but its most likely to have a bigger (negative) effect on handling. Assuming at least you found the setup to be nicely neutral except for that brake lock issue.
Dampers on most racing cars are also quite marginal in effect most of the time. The front suspension may only move 5mm or 10mm under braking, the rear may rise 10 or 20mm, with a stiff suspension this all happens quickly and that means dampers quickly stop having anything to do with weight transfer and they just continue to dampen the bumps on the track.
I've struggled to ever really notice a difference in damping on billiard table car handling. It really doesn't do anything in stiff race cars during transitions. In my experience, stiffer dampers act much like stiffer springs and anti roll bars, but then for when going over bumps. So they certainly play a role in the car handling, but they don't really change much during weight transfer.
As our legs aren't lightning fast, you can pretty much stomp on the pedal and it would take a tenth or so in my limited experience to get that peak force. Only on really soft cars, where in this 1 tenth the weight hasn't transferred front yet, you may lock the brakes as the braking is done sooner than the tire load arriving at the front.
So while there is some truth to some of what you say, in practice it barely applies to these modern stiff downforce racing cars!
.. I think so anyway!