I am very sorry and I completely understand the devastation and disbelief you are experiencing. My WH had 4 LTA totalling 5 years over the span of 12 years of our 22 year marriage.
It is an incredibly confusing time as you try to reconcile what you have learned about your H and your marriage with what you thought you had. Give yourself time to process, it is a very long journey with many peaks and valleys.
You have a 20 year history with your H, and despite his awful, selfish choices, it is completely normal to still have feelings of love, anger, sadness, disbelief, rage, protection, you name it. Your world has been turned upside down through no doing of your own. You own none of his As. Those are on him exclusively. Know that one minute you might want to work it out, the next, you want to D, completely normal, but awful nonetheless. It is difficult and painful process either way.
My concern lies with your WH's comment that he can't deal with what it takes to get through this for recovery. Perhaps he is overwhelmed with the magnitude of what he has done to you and his family and is struggling to reconcile the pain he has caused, or maybe he is weak and just doesn't want to really deal with the fall out his actions have caused, who knows what he means. He needs to clarify his comments.
He is very broken, as my WH was as well. It takes a lot of work, commitment and effort to work through how he repeatedly allowed this behaviour to ensure he won't do it again. If he's not wiling to do that, then working it out is not possible even if you want it. It takes two fully committed and honest people. Full transparency and authenticity; can he do that?
Many people will say "cut your losses, he's a serial cheater". I get it, the risk to re-offend is high with a serial cheater. For a myriad of reasons, I chose to be open to either R or D, dependent on the behaviours he demonstrated post dday. For me, the factors in my life, as well as the details of his As, R was a consideration, despite his repeated offences. However, my rope is short, there will be no second chances.
Bottom line is there will be lots of good advice, wisdom and insight shared on this site, take what feels right for you and your kids. Only you know your WH, the "whys" of his As (perhaps yet to be determined) and his capacity for change to be the safe partner you need and deserve.
I am so sorry, please know you have been heard and are supported by people who have walked a similar path. ((()))
[This message edited by hopeandhealing at 9:39 PM, September 5th (Wednesday)]