Property rights; the right to gain, keep, and use material values, like money, based on the right to life. That's taken away when a country controls currency.
Why would a state choose to give up this control though? It's not often that governments concede previously held abilities.
They would have to understand the principle of rights, and that it benefits them (by any good standard) in the long term.
In other words, they'd have to know that giving up control would be good for them long-term, and they'd have to want good things for themselves.
Lots of states have already given up this control, for a variety of reasons.
How does fiat currency remove the right to have things?
It removes the right to have certain things, such as, money that is in your control.