I think you're worrying too much.
I'm not worried, I was trying to make what I think is a relevant point. If you are going to open carry on your "property", make sure you actually know where your "property" ends. I did not expect it would take so much "explaining".
There was an incident here in Austin a several years ago where a home owner shot and killed someone he thought was tampering with his car. The car was parked in a "neighborhood easement/driveway" in front of the homeowners house, but it was not on his "property". The suspect fled into the public ROW between the parking area and street where he was shot and killed. The fact that the homeowner was at no point on his own property when he pursued, shot and killed the suspect, severely complicated the owners claim of "self defense". As I recall the homeowner ended up doing time. I'm having trouble finding a reference to that case but it was in the news for months. I will post it later if I can find it.