Don't wear socks when exercising, socks are for people to see! You can't say that some people wear it and some people don't, so you just wear it! Some people don't want to have too many things on them when they exercise, so they habitually don't wear socks, and some women don't wear underwear! There is also fear of discomfort! When exercising, the soles of your feet are prone to sweat, and wearing socks will feel very bound! So they are used to taking a shower and wearing socks after exercise, which will be very comfortable!
As for the street, some people have good breathability and it's okay not to wear them! These are all about shoes! Don't say you are wearing sneakers or socks!