Does the original implementation bias towards/against certain initial positions in the array? Could an 'attacker' try to insert himself at a specific location t

Does the original implementation bias towards/against certain initial positions in the array? Could an 'attacker' try to insert himself at a specific location to gain more fame? My gut feeling is that any change in the rng would not fix the fundamental problem that a low iteration count biases towards the initial ordering. But does that even matter after hundreds of thousands of iterations? Is any improvement in rng just a performance improvement, in that it might give high quality results after fewer iterations?