Good Cop/Emotional Cop Syndrome (Stockholm and Beyond)

I’ve heard about the Stockholm Syndrome. And apparently there is a Lima Syndrome which is basically the reverse. So hostages can identify and sympathize with the hostage-takers, and vice versa. I started thinking about the police and situations where they probably do the same with criminals. The cop who negotiates with the hostage-taker usually tries to make the taker feel like the cop is trying to help him. Do they ever do such a good job they convince themselves?
What about undercover cops? There's no way that after months of pretending to be on the criminal's side, they all just turn their backs on their "friends" and turn off any feelings completely.
Is there a name for all these situations?
And what about a perp with a good reason? A victim who feels forced to take criminal action, like John Q just trying to get a transplant for his dying son when his insurance won’t cover it? A cop's got to uphold the law, but there must be times it feels so wrong.
Cold Case does a good job of questioning the righteousness of the police’s actions. It’s clearly good of them to bring murderers to justice. But what if the “doer” has gone decades without committing any other crimes, has become a positive member of society, and is a senior citizen? What if the circumstances surrounding the murder were such that few of us would be able to easily say we would have done differently? When the detectives reluctantly lead those young/old murderers away, it’s a real ambivalent moment.
Police probably deal with conflicting feelings a lot. On TV, it's common to see police officers being sent to talk to a psychiatrist after they kill someone. Boss always wants to be sure his officers are dealing with their guilt and feelings of mortality. And they sure hate to do it! But rarely do these shows explore the mixed emotions involved in these unnamed syndromes. On TV the police seem too proud and tough to admit they have any sympathy for the criminals. I guess that's how they are able to do their job. On TV it’s rare for cops to break any serious laws, but I know the real world has plenty of officers doing drugs and beating their wives at home and then arresting people for the same thing at work. The corrupt cops doing that on TV are “bad guy” characters whose feelings and motives are superficial or nonexistent.
Criminal Minds often explores the emotional effects the “unsubs” have on the profilers. In one episode Reid saw himself in a young criminal. In the end Hotchner says to him, “I know it's painful when the person you're identifying with is the bad guy.” Reid says “What does that make me?” “Good at the job.” I agree.
Sometimes these shows (especially Criminal Minds and Without A Trace) are kind of corny the way they use the emotions of the characters. Each member of the team has a certain demographic that gets to them. You know anytime there’s a young girl, fighting to make it with little or no family or financial support, whether she’s a victim or suspect, it’s going to be an emotional episode for Samantha Spade. Are people that predictable in real life?