If everyone agreed that all natural resources are "owned" in common by the people who live in the general area, there would be an agreement.

Already been tried and failed a million times. In order to have "everyone" own a necessary resource for the sustenance of life the resource would have to be unlimited. Otherwise, being that "everyone" is an owner, everyone could claim their right to use said scarce resource at the same time. This is what is meant by potentiating violent conflict.

Strawmanning this sensible argument is not getting us any closer to clarity. I actually sympathize with some of your points/implications, but these left field mischaracterizations of propertarianism always surprise me.

Let's agree that I can come over to your house, stay for three months rent free and eat all of your food. If not, why not? The land upon which your dwelling stands is not your property. It is everyone's.