One of the principles of safeguarding is that normally, the parents are best able to know what is best for the child and what the child needs. They have a much better track record than either the state or other institutions.
It's possible for the state to take away parental rights when there is a real problem only. Which might be the case with a 12 year old looking for contraception, but it also might now. You don't just wholesale remove parents' rights to care for their kids best interest without some specific reason to think that something bad is going on in that case.
There is no reason that should be different in these instances. Parents are the best people, unless they are abusers, to help their kids. It's not up to someone else, even some totally unrelated self-declared feminist, to tell the parents how to best care for their kids. I hope we can all see where that leads.
I'd also point out, it's not just a problem if the person these young girls are having sex with is an abuser in the normal sense, or much older. It's often also a serious problem for parents to deal with when the boy is of similar age, when the girl is keen, etc. And that can be true even for 14 or 15 year old. I had a good friend growing up who at 15 and 16 had a boyfriend close in age who impregnated her several times, she accessed abortions and her family never knew.
It was totally a toxic relationship that ended up causing her serious problems to this day as she has long term mental and physical repercussions. She hid it from her family, at that age she wasn't, in fact, able to navigate the situation. Sure, she understood how birth control worked and so on. But she had great parents and her life would have been much much better had they realized what was going on.
The fact that some people think feminism has this dogma that underage girls should have adult access to private reproductive services, as if that is perfectly obvious and any other viewpoint is "un-feminist" is bizarre. There is no reason there should be any one viewpoint on this within feminism.