Regarding shock settings they are timing devices Rebound control how fast the car transfer weight front-to-back and Compression how the car recover from hitting curbs and potholes (overall you want compression to be as soft as possible) while Rebound especially on Mustang is a bit more complicated: Stiffening the front (More rebound) makes it more responsive but it also leads to understeer in mid corner and corner exit since the rear been Softer has more grip.
Overall when you are setting your suspension you always have to start with the front: Start from full soft Rebound or some neutral settings like middle of the adjustment range go on track and notice how the car changes add 2 clicks or so to front rebound until the point the car starts to understeer on Entry (it will be doing it when full soft as well so hard to judge) then ones you start skipping under braking and car understeer into the entry dial 2 clicks back. Now you can focus on the rear ether same number of clicks or +-2 depending on what you like in a car (Understeer/Neutral/Oversteer) rule of thumb is that the car has to oversteer on entry and to be Neutral on corner exit so you overall want to keep the rear 2 clicks or so Softer than the front (this will result in better corner exit).
Not agruing here...discussing. I'm curious how you run your dampers.
You say, "...you want the compression to be as soft as possible." While I will agree that is 'a' way to run the damping, it's not the only way. I guess I would add to your statement with, "..., but as stiff as necessary."
From a pure mathematical view of settling a mass/spring/damper system, it doesn't really care whether the mass is moving one way or the other. It's about how much energy is being dissipated. As we start to tie the car together end-to-end or side-to-side, now the compression/rebound difference gains importance.
Increasing compression damping is necessary any time you have a (generally big) compressive input where the chassis is moving relative to the road. You want to eliminate the damping on the bumps where the chassis is stay relatively level and the wheel is moving relative to the chassis.
You want enough front compression force to support the nose of the car without excessive head-bobbing while applying the brakes hard or in a combination of braking/steering (track dependent). If you have to slowly roll into the brake pedal to keep the nose from a big pitch motion, then you need to increase front (especially low-speed) compression forces. You'll reach a point of diminishing returns where increasing damping doesn't help you apply the brake at a faster rate. Somewhere on that 'brake application rate' vs. 'compression forces' curve, you'll find a minimum necessary compression setting. It'll be *at least* close to the 'diminishing returns' setting. Cars with significant front aero may run very high low-speed compression forces (>1000N @ 25mm/sec or 225# @ 1 in/sec). In many ways, that's why you spend the money on the dampers, so they do things like this. You can do whatever you want to the tuning of a street car damper, it will never be able to produce these types of forces. They stop damping and turn into oil-filled springs.
The rear compression is dictated by the throttle-induced squat in the car. When you come out of traction corners and go to throttle, you want the chassis to take this input as a single motion with as little rebound as possible. If the rear end of the car doesn't have enough damping, it can lead to a 'pumping' sensation on corner exit that puts the rear into a load/unload situation that hurts traction. So, there has to be enough compression damping in the rear to absorb the chassis motion due to throttle inputs in lower gears without a big overshoots.
It's common for both ends of the car to have some sort of steep, initial segment on the compression force curve to accomdate these driver input loads. At something like 50-100 mm/sec (2-4 in/sec) the compression force curve slope will have a reduction of slope (to make a digressive curve) and then the forces will continue linearly on for the remainder of the working shaft velocity range. It's very common for the front to have significantly more low-speed compression damping than the rear, not because of the weight, but because of the impulse pitch load due to braking combined with aerodynamic (as well as mechanical) front ride height sensitivity.
