Marie is presenting herself well in situations where her French and English can be used to communicate. She's fine on overseas trips, especially on JOachim's arm. They make a charming couple, and this recent trip, which included Henrik, showed them to be loving parents, very natural, and truly enjoying themselves. This is positive and gives a good presentation.
What the ins and outs were with Joachim, Alexandra and Marie is something we won't have access to unless someone writes a very intimate book about it all.
If Alexandra decided the marriage was not for her, and Joachim had gone ahead with the queen to make other living arrangements for her away from Schackenborg, and both kept in the background until the fanfare of Frederick's romance and wedding took place, then more power to them.
Having Martin living with her and her children before marriage in this newly purchased house was, in my opinion, pretty bold on Alexandra's part. After all, she was the mother of two children, two royal princes, at that and having a live in boyfriend is certainly quite a fall from the beloved princess she had been. In addition to that, is the fact that her parents were still living on Schackenborg property at the same time that Martin was living with Alexandra.
Now Alexandra has bought (with or without Martin, who knows?) a very expensive villa in Turkey using the new Copenhagen residence as collateral. She twists and turns, and is showing herself to be quite the wheeler dealer. It appears she has certainly benefitted from her association with the royals and is going to make the best of it.
That she can do it is not the question. That she chooses to do all of this thanks to the divorce is the issue. And Martin, well, he just enjoys the life to which he is becoming accustomed. In many ways, it's sad for the Nikolai and Felix, I think.
Overall, they do maintain a civil relationship, which, above all, keeps it all under wraps.