I might misunderstand your questions...but I'll give it a shot.
I would say cooperation is voluntary, thereby ethical. The concept of least resistance being copperation makes sense, as the "path of least coercion" in this case would be a non-coercive path here. To cooperate is voluntary, thereby non-coervice, and therefore a path of lesser coercion than a coercive path, logically. Anytime you have a non-coercive path, it is a least coercive path and fits my theory in terms of what I defined as "moderate circumstances". However, if cooperation is not available as a choice, or ends up coercing you more than acting with aggression, then a coercive (but as least coercive as available) path would be chosen instead. This latter case I defined as "extreme circumstance", and is not ethical, albeit preferable. It is criminal, but less punishment would be perscribed under law due to the mitigating and corroborating circumstances in the "extreme circumstance" you faced.
I hope that answered your question.
In your latter hypotheticals, I'm not sure I understand what you're trying to get across. I may be reading it wrong, or missed something obvious. I'd ask you to help me out. What I'm seeing is 3 property owners, one with a fence, one with just a sign, and one with neither. There is no distinction as to who owns the property in the last case. The part I'm confused about (I think) is the "there is no distinction with regards to...whether owned property has been modified against the express wishes of a property owner".
I mean, altering their property would violate the NAP in moderate circumstances, but in extreme circumstances might be a path of least coercion. For example, someone is freezing to death in the winter and needs a tree from one of these properties to burn for warmth. It's freeze to death, or steal firewood. The path of least coercion, albeit ciminal and unethical, is to steal the wood. This will need to be renumerated by law after the extreme circumstance has passed. This would likely be renumeration including the value of the wood plus some extra in money, wood, trade, or labor in order to compensate the property owner (who is a victim of theft) for his losses in time, wood, and effort to get renumeration. How the property was protected would largely not matter at all. The fence, sign, or neither is simply a preference of the owner that has no bearing on the crime itself...otherwise we're blaming the victim to some regard (like saying a girl in a short skirt deserved rape more than one in long pants).
If I didn't get that right, help me out, and I'll be happy to re-apply the theory for you
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