I don't agree with this.
At this age a teenager is still a child. These days it is a much harsher world to bring children up in, than it was 20 years ago.
There is a difference between caring for your children and doing the best you can to protect them (which is a parents God given role, that's right, I see them as lent to me by God, and it's my role to do the best I can to bring them up the way he would want them to, and they are only children for a short time) and living your life trough them,.
I learned this not that long ago when my son screamed every time he had swimming lessons, and it got to the point where I realised I was shoving it down his throat because I never learned to swim and wanted him to do it lol. So he doesn't go to swimming lessons at the moment and when he wants to go we will take him and he will learn because he wants to, not because I am making him go. So in the meantime he doesn't go anywhere near water unless someone is supervising (an obvious safety issue since he's only 5) I think the time when he wants to learn is coming soon because most of his friends can swim.
Kazamataz - I am turning 31 next month, have been married for nearly 6 years and have 2 children. I am proud to say I have earned my parents trust, Well I think I have,
Do they still worry about me - YES!!!!!! However they don't "go on" about it like they used to, but it's still there.
I think as you get older they realise that you can handle situations yourself and it's easier to not worry so much ( or that's my theory - I haven't had time to test that out much yet, my eldest is only 5)