After a check, it appears triangles' observation regarding ~CHAOS~ is correct. Your first job, regardless of which crystal it is associated with, is listed under the wind crystal job on the Players page on 4JF's site by default. This may be any job but will be the first crystal at which changing from freelancer to any other job will become necessary. Inputting commands for the water, fire, and earth crystal jobs will result in the rest of the party's classes being displayed. These jobs will proceed in a pre-selected order from wind crystal to earth crystal depending upon which jobs you rolled. Hence, if your first class is a wind crystal class, the next class in line may be any from wind, water, fire, and earth and will be sent out in that order. If your first class is a fire crystal class, the next class in line may be a fire or earth crystal class. The only exception to this rule seems to be berserkers, which can be rolled after receiving fire/earth classes. However, this seems to be limited to BERSERKER RISK anyhow.
In short, if playing a chaos run, go to the first crystal with which you have a job and roll until you get a job from the next crystal over. If playing BERSERKER RISK, you may just want to put them all up there as BERSERKERS are everywhere.
Edit: It may be worth linking Axel's successes to one player named DraknarEverhate, who is so angsty that s/he drew 4 bearserkers for a chaos + BERSERKER RISK run. It may be a name that is a self-fulfilling prophecy.