Yes you are correct, they do have to respond. They can't assume the caller was mistaken or the report was unfounded. So when the snowflake calls they have to at least check it out.
That said, when police show up they aren't required to stop with the person. They can keep driving if there's no crime. They don't have to be a hunter, they just have to know the laws they are enforcing.
They may
choose to stop and talk to you, but a consensual conversations is not being questioned or harassed. You could even ignore them and/or walk away. There's case law on that too. This "stop and talk" differs from a Terry stop where you are required to give some amount of compliance. Just because an officer talks to you, doesn't mean you are required to talk back. I would talk to them because I don't have an issue with police, but you don't always have to. Similarly they don't have to make contact with the reported person based on the call, and in fact can't insist on it unless there is reason to be believe a crime is being, has been or is about to be committed. In an open carry state, simply having a visible weapon is not evidence of a crime. If it's brandished, then yes a crime has been committed and they can require you to stop. If the weapon is possessed within a school safety zone, it's a crime and they can also require you to stop. Search and seizure laws and gun laws intertwine a lot and can get tricky if you only know bits and pieces of what can/can't be done.
I agree that engaging them with the weapon is not self defense if they're simply stealing the truck. And as I also mentioned before, if you have enough concern that you feel the need to take the gun, you shouldn't be going out to confront them.
It is a very fine line, which is what I think is causing the difference of opinions. That alone is enough for me to not confront the thief. If we are divided on whether it's justifiable, so will be a jury of your peers if things escalate and you have to use the weapon. Now you have to worry if 12 people will be convinced that you were or weren't doing something wrong by taking it. Not a chance I want to take over a truck that can be replaced.
I still agree with SnowBlaZR2 that taking the gun with you doesn't automatically mean you intend to use it though. Nor does having it in your hand constitute "brandishing" either.
As defined by Merriam-Webster: Brandish means: 1
: to shake or wave menacingly, or 2
: to exhibit in an
ostentatious or aggressive manner.
If the gun is pointed at them, yes it's brandished. If it's held up in an overt way so as to
purposely make it's presence known, yes it's brandished. If it's in your hand (flat to the body or at your side) because you were watching tv and don't have a holster on your belt, no it's not brandished.
Visual references:
↓ Not brandished. ↓ This is a tactical position which allows you to get on target quickly. You're not waving it around, the muzzle is down, you're not pointing at the thief, and depending on the color of your cloths and gun it may be rather inconspicuous. This is not "ostentatious", overtly displayed or aggressive, and therefore not "brandished".
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↓ This is brandished. ↓ This is an aggressive posture and you're likely pointing at the thief. Despite what tv shows you, this is NOT how you clear an area with your pistol, especially when you're turning a corner. The Army (and I assume every other branch) teaches you to corner with it tucked closer to the body so you shouldn't be walking around like this. In which case you're likely not brandishing it while you're checking your property unless you're clearing the area like you're on a tv show.
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