High speed LSR tires are generally run with rather high pressures in order to deal with what are generally heavy cars and to minimize standing waves in the tire carcass. This results in a pretty stiff vertical spring rate of the tire, so it is debatable as to how much “suspension” is provided by tire deflection.
When a stiff tire is bolted to the chassis, uneven surface features then are largely transferred to the whole chassis which can set that large mass in motion resulting in degraded contact with the ground (wheelspin) and an unsettled (scary) ride. Hence the advent of “suspension” and the conundrum of whether to have any. The answer is really a function of the surface upon which the vehicle is operating. Bonneville racers probably don’t need much, while Baja racers can’t get enough. Short of exhaustive analysis the decision is a judgement call based on intuition or learned experience.
Dampers - In normal circumstances dampers do not so much keep the tires on the ground as they keep the sprung mass from getting out of control, dampening its motion relative to the tires and smoothing the vertical load variations. It is doubtful that a damper will react to a pothole at 300 mph. Ask the Bilstein guy for a frequency response curve for the units. They will probably become very stiff at high frequencies, in effect making the “suspension” take on the behavior of being solid mounted.
Anti roll bars primary duty is fine tuning your spring rates. Get your spring rates right and you may not need anti roll bars. Get spring rates wrong and no anti roll bar will work. So, begin by establishing correct spring rates.
This is simplistic confusion. It is often the case that the desired spring rates and the desired roll rates and F/R roll distribution are different. Anti-roll bars allow the roll rate and roll distribution to be adjusted, or modified from the roll rates resulting from the suspension springs alone.
you must completely eliminate body roll or you will be dealing with a variable yaw situation
It is not clear how a “variable yaw” situation would necessarily arise as a result of body roll, but clearly, minimizing rear axle roll-steer would be a priority.
Betsy - If I recall correctly, Betsy sprouted a rear wing in the later runs, which helped keep the (solid?) rear axle on the salt.
Speed Demon - As far as I know, no definitive cause for the crash has been identified, or at least spread beyond the team. However, aero instability in conjunction with wheelspin was being discussed at the time and Demon II took steps to improve that aspect.