It is interesting to see the time periods for recovery. It would be interesting to model the point in time of the 30% fall. The SS assumes the fall in the first year. Anyone going into the pension phase would be most unlucky to be hit with a 30% drop in year 1, but it could happen!
It would be educational to graph the recovery time to the number of years before a 30% fall. For example, if the funds went up 100% prior to the fall, then it would make no difference to the ability of the fund to maintain the original payout value.