Whether or not you believe in such rights, they are different kind of thing than legal rights and (notably) cannot be abolished. Confusing natural (i.e., moral) rights and legal rights is the fallacy of equivocation (and is equivalent to conflating a fact proposition with a value proposition.)
Creation of legal property rights is always a top-down action by the State. It may be justified by a belief in certain inherent, unalterable moral rights (as, equally, can the abolition of legal property rights -- which is simply the State declining to continue to impose coercive means to uphold certain property rights), but that doesn't change that the mechanism by which they imposed is top-down, coercive action by the State.
Property rights are not necessarily externally applied. As you can apply use to the area around you, you can use your natural rights in order to claim property and protect it through force. In this way you are innately a sovereign. When you join in a community, you give up some of your natural rights to the state, particularly as regards the application of force.
Legal rights, as I said previously, may be motivated by beliefs about natural/moral rights, but they are, purely and simply, a decision by the State to use coercive measures to exclude some actions. And they may also not be motivated by any belief about "natural rights". Natural rights, except as a rhetorical device to claim the moral high ground in arguments about what decisions the State should make in terms of imposing coercive power on behalf of one or the other conflicting claimants in a class of actual or hypothetical disputes, don't actually have any direct bearing on, really, anything.
> As you can apply use to the area around you, you can use your natural rights in order to claim property and protect it through force.
You can use your physical capacity to exclude people from actions (whether or not they relate to an entity in which you claim a property right, and whether or not any "natural rights" exist or have any bearing on the situation). You belief about the existence and scope of natural rights might have an impact on where you choose to exercise that physical capacity, but, again, that's pretty much beside the point.
> When you join in a community, you give up some of your natural rights to the state
That's a rather controversial claim; many of those who believe in the existence of "natural rights" also believe that a fundamental distinguishing feature of "natural rights" is that they are inalienable -- that is, they cannot be transferred or surrendered.
No, the post I responded to was about the abolition of rights, which restricts it to the class of rights (legal, not moral) for which that phrase is meaningful.
Context matters.
> whereas you interpret "right" to mean "legal right" unless explicitly stated otherwise.
No, I interpret it to mean "legal right" when it is used in a context in which what is being discussed is only meaningful for legal rights.
