Well, they don't get more wayward than when they are having A's with more than one guy at the same time. This is more than a bad "habit" she has developed. By you telling her she could continue to chat with these men, you might as well as said she could have cyber sex with them, b/c that's what is going on. That is why she needs her privacy!
You cannot let this just slide by, avoiding conflict and waiting until she decides to come around. If it continues, it will get worse. Eventually, she will start meeting them in person b/c most of them are looking for a f--k buddy and will press to see her.
She is getting her cuddling time from you, on demand, while she gets her sexual stimulation from strangers. Don't you see something wrong with this picture? You may call it stubbornness, but it is a power play on her end. I don't think it is you being stubborn as much as maybe something, but I will hold back from saying at the moment.
She does have all the power b/c she has taken it like taking candy from a baby. She gives you all that BS and she gets to do whatever she wants. What are you doing while she's having cyber sex? And did I understand you right about having sex with her? One place you said it had stopped, but another place talked as if it had started up again.
Matt is right, you need to focus on basic DBing principals at the present time. If you have a tendency to mix part truth with part something else, you may get some of the advice confused, as well. I suggest you not jump into something too deep without getting the basics. There is a lot of reading you need to do, starting with Cadet's homework assignment.
You can't grasp all of this over night. It's a lot to digest.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!