It is a good video, but I do disagree a little. Granted I'm no law expert but with the various reading I've done, I believe it is a good idea to say enough to let the investigating officer know that YOU ARE THE VICTIM.
Mr Ayoob, has stated the same thing in some of his articles and it really does make sense. If nothing at all is said at the time of the incident, the perp giving statements can make you seem to be the instigator/criminal. I'm not advocating full disclosure of all the details, but enough should be said that it leaves no doubt that you are the victim. I know that even with no statement it should all come out during the investigation, but such is not always the case.
Just my $.02....