Just had the strangest thing happen in a high res. Took out about a dozen dangerous and deadly FDLs, Pythons, and Anacondas. Also one master Clipper that was the hardest one to kill, pointing directly at me the whole time - as Clippers will do, and had his shields come back twice before I finally got him (hull, not power plant). This whole time I had a total of two plasma bolts shot at me and the cops never showed up.
Then I took on a little wing of an Eagle and an Anaconda. The damn Eagle wouldn't go down, which gave the Anaconda a chance to join in, and they were both scoring hits. I lost my shields, and lo and behold the cops finally show up. After that, things were pretty much back to normal.
That session did wonders for my local rep.

One other thing, I've seen a lot of NPCs crashing into asteroids, often taking down their shields.