Inconsequential is something that is of little importance. We rarely insure against loss for things that are inconsequential. Exactly because they are inconsequential, we don’t fear their loss.
The opposite of inconsequential is consequential. Which means to follow on from something. And we often insure against consequential loss because of the consequences we face as a result of the loss. A house flood for example.
As parents, teachers, and coaches of kids on the sides of sports pitches. What consequences do we think we are protecting ourselves against?