I don't know if they all do, but Alex's high school coach tried to get Alex to play football and wrestle. He screwed his knee up too badly and he couldn't play after his 8th grade. He tried to get all the football players to wrestle. They have made the playoffs every year since he took over. He mainly teaches them to deal with contact.
It’s really good for kids, gives them confidence. my son was 7-8 years old, shy kid and had a kid in soccer who throwing him around a little too often so I put him in wrestling. Well after 7-8 years in wrestling he’s about 230 now and I promise you wouldn’t want to try to throw him around now.
Wrestling is the best sport for little kids. My son started at 6 yo. He’s since moved on to other sports, but I personally miss it. Nothing makes you mentally and physically stronger.