We can only operate within the confines created by the author. Therefore, we know that the MC gets sexual pleasure from watching his wife with other men or hearing her tell the story of what happened. We know that some men may be off-limits because the MC has the ability to choose for certain events to occur or not (Ryan, Dre, Martin, etc.). We know that Anne participates because she enjoys it and for her husband's enjoyment.
It is not an open relationship. The perception of the MC's behavior relies heavily on how the user plays the game. For example, in my main playthrough, the MC is faithful and has sex only with Anne or when Anne directly approves of a woman (i.e. Emma). In this playthrough, the user must have chosen not to cheat and not to let Anne cheat (regardless, Anne will cheat). This is not an open relationship. It could be defined as sharing, hotwife, or other terms. But there ARE limits to what would be considered acceptable behavior from Anne and the MC. And the users' confusion here is important to note.
But you may have chosen to play the MC (and therefore, Anne) differently. It is possible that the MC could be a cheating liar, or sleeps with anyone just as indiscreetly as Anne. Or you could have made choices where the MC is the unrelenting instigator of marital corruption responsible for his own demise. No matter what you choose, Anne will cheat and have a number of partners the MC will not know about. The author of the game writes in such a way that we know there are some events Anne participates in that we are not privy to. Again, important to note many users question why Anne is fucking everything that walks. Why does she get so upset when told she can't participate? Why does she get so upset seeing the husband screwing a random girl? Why are there no consequences for Anne's actions (and possibly the MC depending on your choices)?
So, while your interpretation is certainly more interesting and would make for a better story, we are left with nothing more than scratching our heads and asking "what the fuck?" As of the current update, there are no answers. There is nothing in the story to suggest that these courses of conflict will be used. The sex does get monotonous for many viewers (there are others who are content with no logical story whatsoever).
My version of the MC is left wandering the resort constantly searching for Anne, never getting laid, and wondering what the fuck is going on!? And I am not happy with that story outcome. I could change it and make him wander around, getting laid, and still wondering where the fuck is Anne. The only conclusion I can draw at this point is that the author is not capable or does not desire to write a compelling story that uses all of these points of contention to his advantage. BUT, this is a work in progress. It is completely possible that the next 10 chapters are devoted to ironing out these discrepancies. Like many viewers that are hanging out here wondering what is next, I remain hopeful that the story will resolve itself, however unlikely that may be.