The advantage

"The advantage of a random gun is that it should have a roughly equal hit rate on any type of movement."

This isn't technically true. It only holds true if the given targeting covers the same range of locations that the movement does. If the movement covers less area, then the targeting will be less effective.

For example if you have your average random gun, that fires randomly at GF -1 to GF 1. That seems like a pretty good random gun. But it will not hit all movements at about the same hit rate. While it is possible it could have the same hit rate, in practice the hit rate will be much lower against certain movements.

For example, if an enemy robot always stays at GF 0.8. Well then most of the time your random gun will not be firing at 0.8, and so will likely miss fairly often. The same could be said for a robot that uses stop and go movement and only covers GF -0.2 to GF 0.2. Your hit rate will suffer.

Surfers have this down to a T. If your gun fires at a certain location, the way the surfer responds is to avoid moving towards that location under those circumstances. Meaning every hit a random targeted makes on a surfer further restricts the GFs the surfer will visit, thus lowering the hit rate against your -1 to 1 random gun.

But feel free to tell me if you think I am completely wrong on this.