Think about what a steering stabilizer is and how it works
It simply connects to the frame and the steering arm. As such it only controls/dampens movements of that arm. From a tuned chassis perspective that arm should have minimal movement other than positioning wheel direction.
Again, a steering stabilizer does not FIX a chassis steering issue. With a well tuned (not just in spec) steering/suspension system and good roads you should feel little differences with or without a stabilizer installed. A good reason to remove the stabilizer when test driving a rig.
As shock valving increasingly resists movement it will likewise increasingly dampen and "mask" less than optimally tuned steering behaviors. Certainly at a point of optimal tune the a dampening increase becomes icing on the cake so to speak because it adds driving comfort due to feedback isolation. This added comfort is too often expressed as a FIX for chassis handling/steering issues.
The amount of safety in a blowout condition is not a factor of size or what you might feel by hand actuating a unit but rather the valving characteristics designed into a given unit. A typical stock shock can provide excellent fast movement isolation and also be easy to move by hand.
A lightly dampened shock will provide the most feedback into the steering wheel. Drivers often react to this feedback with impulse corrections that cause yet more feedback to create a poor handling feel. How much bump steer is driver vs. chassis? Solving a drivers reaction tendencies with increased dampening is priceless but it fixes the driver not the chassis.