Other than as a mind game, I don’t see the point.

Google provides a centralized service. They own the generator system.

You could solve the whole problem much more simply and reliably by just retaining a copy of all generated text at Google – the quantities of data will be miniscule compared to what Google regularly deals with – and then just indexing it and letting someone do a fuzzy search for a given passage of text to see whether it’s been generated. Hell, Google probably already retains a copy to data-mine what people are doing anyway, and they know how to do search. And then they could even tell you who generated the text and when.