Sorry that you are here. Sending you a big hug! Pain, physical or emotional, is a deeply lonely experience. Because there is no way you can compare your pain to anyone elses. If you cut two people the exact same way, one might rate the level of pain completely different than the other. My husband didn't have a physical affair, but he didn't have to. The pain I felt upon the revelation of him having feelings for another woman was so strong I wanted to die.
To create distinctions between what is worse is only helping the WS minimize his actions, and the way he does it is really cruel. Not only did he betray you, but in addition he minimizes your pain and humiliates you. Please don't accept this.
Of course there are some betrayals that stand out as particularly horrible, but I honestly think that betrayal is betrayal. It registers very similarly at first in our brains. At the deepest level it is the betrayal that hurts, the abandonement and feeling unloved, the trust that is broken, the loss of the reality you thought you lived in, the person you thought he was.
And to answer your question, no you can't reconcile with someone who doesn't want to admit the effects his actions have had on you.
Reconciliation is really based upon achieving a shared narrative of what has happened. Right now he is fighting hard for his narrative, which is that what he did wasn't so bad. You can't reconcile with someone who doesn't acknowledge your experience. That will cause you eternal suffering.
You can never get what you need out of this relationship as long as he stands by this idea that what he did shouldn't have hurt you as much as it did. By saying that he is basically saying something is wrong with YOU for feeling this way. He denies you your pain, and that is so unfair given that he is the one who caused it.
You feel fragile now. We all do when we experience betrayal. But don't let that fool you. You are so much stronger than you think. And what he did says nothing at all about you. It's all his own deficiencies as a person.