Like, in any scenario where "property rights over things" clash against "the right to life", Libertarians will claim that the rights of the Possessor of Things should be paramount and everyone else should just die.

That didn't happen.

That is not the way Natural Law works.

Human life is the most valuable property. The right to property only exists in order to create the Order and prosperity necessary to sustain human life and even promote human flourishing.

In an ideal world, there would be no case in which the two things clash, as markets would be flawless and contracts would be perfect, but we do not live in this Utopia.