The thing here is "paid for (with jail, presumably)".
In this case, society has effectively said the crime will not ever be "paid for" because the person is on a Public List for Life. Few crimes in society have this result.
"Society" is malleable. These registries are recent, and may be discarded. And "society" is different from place to place. Homosexual behavior, and consuming cannabis, were likewise barred from society too. The scarlet letter was for adultery but society has downgraded the penalty for that.
The subject matter here involves the sharpest reactions most people are prone to, I think, so most people involved here may agree with "society" on this one.
True that laws/customs/view of society may change but people live in the now.
I am not sure I agree with the premise of simply blocking people out of your life. It isn't a sustainable way for society to function. Adults have to interact with other adults, even ones you hate.
But I don't know how else to resolve it except for one or the other quitting.
The subject matter here involves the sharpest reactions most people are prone to, I think, so most people involved here may agree with "society" on this one.