I'll bet they [nihilists, P.] 'd still scream bloody murder if some self-authenticating burglar robs their house
But of course they would, nihilism doesn't forbid them to do so. Nihilism says that there is no
objective wrong. They scream bloody murder because their
subjective sense of wrong kicks in.
Maybe it's interesting to contrast 'objectivity' with 'universality'. Assuming we are speaking of human affairs, 'objectivity' would denote everything outside human subjectivity, whereas 'universality' would denote everything common in all human experience. Thus, if it is everybody's judgement that something can belong to them and them alone, and that it is - subjectively - wrong for someone else to take it away from them, then these judgements become universal moral truths, even if they are not objective ones. Moral truths must be seen in relation to the moral agent holding them.
"We are all atheists about most of the gods that humanity has ever believed in. Some of us just go one god further." - Richard Dawkins