I believe Old-Flip is doing the version of the Vince Gironda style of dipping. Vince also had a special way of doing pull-ups, bar touching the upper chest, shoulders drawn back, amoung other things. If anyone has dipping handles that can turn and allow the knuckles to face forward, than that can be an effective way to do the exercise. Elbows are also held wide and the chin is tucked in due to the nature of the movement. In either case the stress is directed to be more on the pecs, than the triceps, themselves. There is also the position where the hands are resting on the heel/palms facing forward ( somewhat akin to a position of a curl grip) when dipping. This has a strong influence on the triceps as well as the inner pecs.
For most trainee's the regular leaning forward dip style brings favorable results. The pecs, triceps and anterior/laterior delts are hit hard. A prime goal is to added weight to the movement as progress is gained. Adding 100-150lbs, over time, is not out of the question for the average trainee. There is no need for any ultimate stretch at the bottom of exercise. That's when a over-extention/stretch can enter a caution zone with regards to injury. For what's it's worth in my view, the dip (in whatever style) is a better pec & upper body mass builder than the BP. Can also couple this with the bent arm pullover as another execellent pec/chest and upper body movement. Good Luck.