When I was young, the kids who played little league were, how do I put this? Dicks. It's not about shoving two like-aged children next to each other and yelling "bond!", it's about a child being able to navigate their own social life and, hopefully, find and bond with people they relate to. Limiting the activities a child can participate in, especially when those activities are widespread among their peers, will of course limit their ability to find their people and form those bonds.
Feel free to actually make a point instead of cryptically alluding to one.
Obviously, there are a finite number of activities in any community. Restrict the number of activities available to your child, restrict their capacity for finding and forming bonds with like-minded people. Simple as that.