BS here -
First, your story is so similar to mine that I actually jumped to the end to see if you were perhaps OW in my case. Doesn't look like it, but I've been exactly where your BH is. My H had an EA. It was LD. It was short lived. He lied after DDay, and I had to break into his chats and texts to get the truth. There were "I Love You"s exchanged, and a LOT of sexual talk. My H even called in 'inappropriate' as you did. Very, very similar.
OK - a quick question. You said that you and AP were never in the same place physically once it started. Had you been before that? How do you know AP?
I don't think your H wants D. If he did, he would have left already. I also don't think him having an A is a solution. This thought process seems more prevalent in men (wanting an A of their own) than women, but it does happen on both sides. Here's the thing - if your H has an A, it won't ease his pain. You will still have had the EA. He will still know what you and AP said to each other. He will still feel the pain of knowing you exchanged words of love and all of the other emotional parts of this. It really won't fix anything at all. It won't even the score. It won't make what has already happened disappear. You may not be in the best position to tell him this, but perhaps you could show him this thread? Or print out this response? It can seem like some justice will be served by having a RA (revenge affair), but nothing changes, other than both sides now have hurt feelings, mind movies, etc., and yes, even though yours was an EA, there are mind movies. Most likely, your husband imagines how happy you were to get a call or text from OM. He thinks of you sneaking off to call him, or text. He wonders if anything you sent him was meant for OM, or vice versa. He hates thinking of the smile on your face when you'd get a fun message from OM. In general, he probably pictures how happy it all made you. Not all mind movies are sexual.
I was just like your H. Madly in love one minute, raging the next. I was obsessed with the details. I couldn't stop myself. I'd see the messages in my mind constantly. I lived in his EA for a year.
What I finally realized was two things. First, I was very angry at myself for staying. I love my H, and I wanted to stay with him. That made me feel weak, and needy, and I was angry at the world. I knew I could leave at any time, but I didn't want to. Not wanting to made me feel like a sucker. That made me angry. Now, please don't think all of my anger was at myself. It wasn't, but enough of it was. I couldn't accept that I was staying with a cheater (sorry - that was my thought at the time). It made me furious that my only options were to stay with a cheater, or divorce the man I loved. I would rage, sometimes alone, seething and heartbroken, and begging for anything to make me feel better, to make the thoughts stop, to just get 10 minutes of peace from it.
Second, I realized I hadn't 'accepted' what had happened. I knew what happened, in painstaking detail. But I couldn't accept it, if that makes sense. I couldn't accept that sometimes, people make mistakes. I wanted answers, but I already knew everything. I wanted justice, but none was to be found. I wanted my old mindset, where life was fair. I wanted my old marriage, where it was just me and my H. I had to 'accept' all of this, and decide to move on. Until true acceptance happened, the anger continued. Once I accepted that sometimes, life just isn't fair, that my H made a series of very bad decisions that he regrets, that my old marriage was gone, and that there was no justice anywhere, then I could start moving towards the future. Until then, I was truly stuck, and I hated it. It made me a very unhappy person, and it only added to my rage.
I hope I haven't insulted you in any way. That was absolutely not my intention. I just wanted to give you a little insight into the mind of someone that went through something eerily similar, and that had virtually the same reactions. Of course, I could be very off from what is happening with your H. I can only speak to my experiences, but here on the outside looking in, it sounds exceptionally similar.
So what finally caused the acceptance breakthrough? After a year of misery, I finally said, out loud, the things I just wrote. Life isn't fair. Sometimes, bad things will happen through no fault of your own. When they do, it's up to me to brush myself off and move forward. That doesn't mean 'get over it', it means move forward and stop living in the past. I told myself that my H was working so hard to make me happy, and to make me feel safe, and that I could accept that, and take the risk, or not accept that, and move on. I had chosen to stay, so staying in mental hell was my own choice at that point. I said it several times, for several weeks. When the thoughts would enter my head, I would let them, for a minute, and then tell myself that I already knew what happened, and that getting angry or upset wouldn't change it. Then I would find something, anything, to take my mind away from the EA.
As far as the self-directed anger, that stopped when I reminded myself that staying was my choice, and that I could leave at any time. I wasn't weak for staying. I decided, after reviewing all that had happened, both with the EA and all other items that comprised our marriage, that I loved my husband, and that as long as infidelity was not going to be the norm, and in fact would never happen again, I would stay and work towards R. So far, I've been very happy with that choice. It's important to say that I couldn't do this with the acceptance I mentioned previously. I couldn't accept my own decision until I accepted what had happened, that it was never going to not have happened, and that there was not going to be any magic pill to make it all go away or make me feel all better. Once I accepted these things, I could accept my decision on how I was handling things.
I think low self esteem is common with cheaters, and imo it's more common for those that have EAs. These people aren't really looking for sex, they're looking for that ego boost. They will say anything to get a response that tells them they're hot, or beautiful, or sexy, or to be told that they're all the other person can think about. These are all ego boosts in the short run, which someone with low self esteem would crave.
If you don't mind my asking, how long ago was your EA? Had it ended when your H discovered it, and if so how did it end? If not, have you been NC since DDay?
Keep at it medicintaker. it's a long road, but if you do the work on yourself, and your H learns to accept this, and is willing to move forward with you, you can have a really wonderful marriage. I'm not saying that the EA will ever be viewed as a good thing. I'm simply saying that there is life after an A of any kind, and with the right attitudes and effort, a relationship can be very, very good. Better than pre-A in many cases.