The leaking of such an internal document was indeed unfortunate, but probably inevitable because of the considerable interest within the industry and indeed from the wider public. I personally found it fascinating and played it several times.
It's possible that the video may show certain emergency procedures that are best not revealed, or that being an extract from a longer video it may be giving a misleading impression of the whole event. But it is likely that if a sanitised version had already been published to show how well the situation was dealt with by ATC, the leak of this particular document would not have occurred.