I don't restrict any activities for my kids because of a risk they might limit their participation in sports, only because of the risk of injury overall. E.g., skiing is ok, but I try very hard to keep my son from skiing in thick stands of trees--because he might fracture his skull, not because he might tear a ligament and miss a season of baseball.
True story: My oldest looked to be a legit D1 soccer prospect in HS. She tripped in a parking lot on the way to practice one evening and injured her knee. Various complications ensued, and she missed almost two years after two surgeries and many visits to specialists. She made it back, but was never the same player. I have replayed that trip-and-fall in my mind thousands of times--what if I had offered to carry her stuff so her hands were free?, what if she hadn't caught her cleat on the curb? The injury was hard on her, but she emerged a stronger person (although a weaker soccer player).
Point being: Even bubble wrap may not be enough. Stuff happens. So let your kid live his life. If he ever signs a pro baseball contract, then his team can worry about what activities to prohibit.