This is one my clients, Steve Belkin, running barefoot intervals at 60 years old. I love to post videos of my clients doing things that many trainers might think are not possible based on age or gender. I think it is important to empower our clients with demonstrations of what you “can do”.
This type of running is best described as intensive tempo. Not a full sprint but, a good long stride. I think that tempo running has great corrective value and can “undo” much of the damage done by jogging.