The arguments you've outlined are drawing a distinction between which kinds of property are thought to be just by certain schools of thought. However, this is entirely unrelated to the fact that all forms of property are coercive -- enforcing them ultimately requires (the threat of) violence.
Most people fail to make this distinction unless they properly think it through, though I personally find it most grating with the type of libertarian who argues with the "non-aggression principle" or variants thereof. I believe people make this mistake because it can be uncomfortable to admit to yourself that you're in favor of something that is coercive, even when the coercive thing is clearly a good thing overall. I'm sure there's a fancy name for this type of fallacy :)
Of course, like all ideologies, they don't think of this as a system of accumulated power that exploits destitute workers and relies on dystopian bands of warlords to beat anyone who protests into submission, but as something like 'a pure state of freedom'.
Now take property, property is coercive because if you refuse to follow property law then the government enacts violence against you.
It's one to one.