Thought experiment: Do you think current-you could manipulate 13-year-old-you into doing something bad? If the answer is no, then that means you were mentally fully developed by age 13. To which I say congratulations, but that is definitely not typical. If the answer is yes, then you should understand the concerns that parents have.
I found this a very interesting question to ponder. I think the answer is "no," without cheating by having my own memories of myself at 13. Too many things that could accidentally give me away by not matching the vibe properly. The only chance of success would be finding a way to prey on the threat of parental overreaction and being less scary as an actual predator than over-controlling parents.