Ultimately, I own all my children’s belongings, as long as they are my minor children, and they know it. If they break something deliberately out of obvious foolishness, meanness, avoidable carelessness, anger or spite, the use of rod is appropriate. The toy (or other object) being “theirs” will never be a mitigating factor.
“Rebellious spirit”?
You will be humbled in your old age. Youth triumphs, rods or none.