IMO, if you couple this with the fact that he just took a weekend security job at a club (which is where his ONS found him), the fact that he told you that you have to start to trust him sometime so this is a good time, and that he says he's happy just 2 months after he betrayed not only you, but himself as well, tells me that he doesn't even kind of get it.
Listen, my H was miserable and angry with himself and hated life for about the first 2 years. After that, he wasn't miserable with life anymore, but he was still angry and disappointed in himself. Today, after 5 years, he still gets angry with himself for what he's done, he's still disappointed and ashamed of what he did, but it's much less as he's been truly trying to forgive himself for what he's done. I've forgiven him a long time ago, but he can't yet. IMO, that is a truly remorseful person, someone who gets the devastation that they caused.
At 2 months out, my H would use words like: grateful you are here, hate myself, I'm so sorry, I've destroyed everything, how can you look at me, how could I be so stupid, what have I done to our children, etc. etc. etc. Not a single one of those is a "happy" comment. My H would have never said he was happy.... happy that I stayed maybe, but that doesn't mean a person is happy about everything which your WH sounds like he is saying. He's not close to getting it, and it sounds like he's working on not going into MC or IC by getting you to be his therapist as well.