The claim being made here is that jogging barefoot is good for you so I decided to do a web search of the downsides of going outside without shoes and found that there is a higher risk of injury from the ground and the environment. You are expossed to rusty nails, glass, thorns, and bacteria. And there's a loss of stability, support, and grip, making it easier to slip. (
https://wellness.ucsb.edu/walking-barefoot). Therefore, though there are many benefits to jogging with sneakers has its negative impacts, the claim that jogging barefoot is good for you is misleading and untrue because it puts you are even more risks that could impact your health.