The initial impulse is to blame the school as being overly protective on something like this but this isn’t the school’s fault. Parents have gotten sue-happy and if little Johnny falls off the swing and breaks his leg, you can bet a lawsuit is coming.
When I was a kid—years ago—I can think of several kids who broke bones juming off swings or on the monkey bars. I know dozens—myself included—who hurt themselves on the playground. I can’t think of one parent who sued then.
If kids never get banged up there is something wrong with them to begin with.