Walking Stick issue - Am I overreacting?

[Terasec]

let them be kids,

its natural, monitor them from a distance,

when it reaches a certain point, then break it up and say that's enough, 

I generally give them a warning, when they ignore the warning and continue that's when I take sticks away,

and 99% of the time after I take the stick away they are out on the hunt for replacement sticks