Hicarry, after reading the court document, specifically the definition of special relationship, I will conceded that in fact you are right from a legal standpoint however I maintain that a level of accountability does exist in the form of departmental policy. Granted some departments might not have such policy but here on Oahu officers can be held accountable for inaction. From reading various articles though it appears that governments can implement laws penalizing inaction. I could not find what states, if any, have passed laws requiring police action to intervene.
OK, so it's taken 3+ pages of posts to finally convince you that you were wrong about a long-standing, well established legal concept. Yet, it appears you still cling to some hope that you'll successfully argue that there is, at some level, somewhere in a policy or procedure, that small quasi-legal or administrative obligation to act. You confuse accountability of one's actions from an absence of action resulting from no obligation to take any action at all.
I've seen police fired or disciplined for all manner of actions, be it excessive force, drunk driving, or not doing paperwork (obviously an employer mandated obligation), but I have not heard of any case for not taking some action (unless it was because they were sleeping on the job...), but you made the claim. So your turn to supply the supporting documentation that validates your assertion that departmental policy oblige officers to respond under under threat of discipline, and provide a few case histories. Could there be some cases of officers being disciplined for not taking some protective action? I'm sure there are, but I'm betting that it's more for not supporting their brother officers in the course of some response, rather than failing to act in protection of a citizen. But, facts, not emotions, are what's important, and I'm anxious to see your research.