Shoes are prisons for the feet to limit their strength and agility, and cause them to have tender skin.
Jogging is perhaps an enjoyable pastime for some, but I should think hardly anyone in this thread needs to be reminded of the SAID principle of physiological adaptation. And then the question "benefits people the most, how?"
What benefits people most in my opinion is what provides their bodies the adaptations they need to become healthier, and especially to overcome weaknesses. For people who need to lose significant weight, jogging is a terrible idea as a means to that end, on account of being less effective for the purpose to begin with than other easily accessible options, and most of all because it is much more dangerous to the joints due to higher forces.