That actually hurt to watch the first video. Poor Vespa. It's best just to use your rear brake and gentle apply the front on loose pavement.
As for the second video, that was shown on modern Vespa by a dealer who personally knows the riders. All recovered with minor injuries, but admittingly I saw nothing but a comedy of errors. The first scooter crash is believed to be the result of fixation. The poor guy going to the aid of his fellow rider, well ...