I have already stated that all it takes is a deterministic function to be applied to the current order of SHs. The only way to affect the outcome of this function is continually add or remove SHs from the equation. Adding costs significant amounts of money, subtracting has penalties in both power over the system and early withdrawals. There is no infinite possibility scenario for the attacker to perform. New joins will be added in a deterministic manner that has nothing to do with the public key.
Sor.rge, do not allow yourself to be derailed by what AnonyMint thinks is necessary due to his lack of competence.
Show where the entropy for that function is stored and who is decided that it is stored. Then you will see that you haven't solved the problem. You will see that decision can't be made without having the order randomized in the first place, without opening a hole for gaming. It is a chicken-egg problem.