Another note. I was in my ship. I made it strong enough that the weak ship warning was gone. If I added any turrets, the warning would be red. If I removed all turrets, the warning would be gone. I jumped to another section and Persecutors spawned. This leads me to conclude that my ship wasn't really strong enough, so this might be a bug. There should be some tooltip or some indication of how near or how far away your strength is. We need some way to see what triggers Persecutors. We need thresholds for each sector of Iron, titanium, nanite, etc... Sure you can just see the yellow/red warnings, but you are in a spaceship. Why would you want some nebulous misunderstood setting?
I hope the second persecutor dialog gets fixed, it is annoying.
There was a mod or two, that tried to balance events. It checked your strength vs sector average. It then rolled random and decided if an event would occur. This means you don't get pirates, LARGE XENON fleets, and other such at normal intervals. The mod also would cancel an event if you were too strong for it, the pirates go scared. I think events should be like that.