Depends on the severity.
I've seen some officials, and I've done it myself, that will stay with the player if play does not need to be immediately halted. That is, if the player goes down and there's a fast break from the other team, stay with the kid until there's a time to stop the clock. I find this beneficial in the event that if there's a fast break the other way, you're at least there to protect the kid from getting trampled (you might be straightlined and unable to see if you followed the play).
Whatever provides the most safety and less intereference with the game.
New question...what if a toddler strolls onto the backcourt when play is developing in the front court? Stop play dead in it's tracks, or wait for mom to come get him?
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