A lot of research shows that wearing running shoes is a bad idea to start with, because the arch supports and cushioning over time weakens the muscles of the
foot.
Running barefoot or in sandal-like
shoes, as humans did for most of our history, preserves the natural arch and strengthens the muscles. But, we don't run on soft soil anymore, we run largely on paved surfaces, and running barefoot on these or in so-called minimalist shoes will lead to mashed feet and plantar fasciitis.