The example in the link you posted is equivalent to quietly whispering "GENERATED BY GOOGLE" every 15 seconds of over the generated track.

Regenerating an audio is similar to painting a fake painting. It is the strokes which will reveal the original author. But in this case you want to claim the piece for yourself - stripping the signature elements of the author BUT still preserve the original quality.

So, make sure the ID is not more nuanced and distributed than you might think :) Otherwise your auto-encoder might reproduce it as well.