[dotBen]

everyone could have recorded it and might be watching it back repeatedly at their leisure, removing any chance of Mr Eden ever monetizing it

Technically those some members of the public could have done that from the original video on YouTube too. The overall point is valid, but that's not the issue to assert.

And no, it would only be a single copyright breach because (to use your terminology) each person who 'illegally received' the video didn't steal it individually.