If my parents had attempted to log everything I did as a fifteen year old, it would have made me resentful and mistrusting. They did not like me talking to strangers, and by "did not like" I mean "were paranoid beyond reason about." But I did anyway--not in roleplay settings, but on various forums. I kept that hidden from them for a while. I'm glad I did. Some of my most meaningful relationships arose out of those forums, and I'd be much worse for not having those people in my life.
I'm also not autistic. My mother has worked in criminal defense since I was born. My parents were open and honest with me about why they didn't want me talking to strangers, and as a result I didn't do things that could endanger me, even though I violated their blanket prohibition.
Initial blanket prohibition, at least. At some point I explained what I was doing and why, and they mostly relaxed, though I still will get "is that a real friend you've met in person" questions from my father from time to time.
tosses in two cents; leaves