A proof for the infinite monkey hypothesis (which we might have, if you truth this computer model) shows us that copying can be done without intention, i.e. it proves a xerox machine is possible.
It might actually show less than this, since it (re)produces linguistic signs but it cannot produce a language, which means that it must be producing meaningful things so far as they are without meaning. There’s nothing odd in this – there are millions of people who have made triangles without knowing they made Deltas. Thus the meaningful can be made by chance, qua meaningless.