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Assuming the random targeting is using Precise MEA, Nene might actually be hit less than SittingDuck. That's because the Precise MEA increases if you are moving at the time of fire, because it is faster to decelerate than accelerate.

But yes, essentially with a random gun the probability of being hit is botWidth/fireWidth (both in radians), which isn't affected by whether or not it always happens at the same place or not.

I'd actually considered sticking a Precise MEA Random gun in DrussGT just to future-proof it against any crazy new surfing tech which might spring into place ;-) Also, against a top surfer with a flattener, a Precise-MEA random gun works about as well as a state-of-the-art AntiSurfer gun...