Yes, it simply means she hasn't ended the A. And when she says she's sorry, she is not referring to having the A. She is sorry you got hurt, but still.....your pain will not be enough to make her stop. Even seeing her child distraught will not be enough.
IMO, the best and fastest method that works is for reality of her decisions hit her head on. It has to affect "her", not you or the kids. She cannot have the family life & home, while involved with OM. She cannot have her H waiting in the wing while she's involved with OM. She doesn't get a new place to live with all her bills paid by her H, while she's involved with OM.
All of that makes sense to you, right? However, most WAW'S in an A feel highly entitled and expect the H to be kicked aside quietly, while he continues to pay for everything. She expects to keep her nice home and the children. Many expect to still be included in family vacations and holidays with her in-laws, as if nothing has changed.
So if she comes home and has not ended the A and doesn't agree to a transparency plan, you need to consider your action in response to it. Losing your temper, having long relationship discussions, etc., will not solve the problem. She will only take the A deeper under ground to keep it hidden better.
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!