Dr. K says that if you you both want to repair the relationship - you will.
I agree with that wholeheartedly - if you both want R enough to do the necessary work.
Frankly, I think the BH has the easy part - just process the grief, fear, anger, shame out of your body.
The difficult part for BSes is that usually, some resistance almost always pops up. It's usually very difficult work to resolve the resistances, and you have to resolve them in order to process your pain from being betrayed.
The WS needs to process their own pain out of their body, and they have to resolve their resistances, and they have to change from cheater to good partner. IMO, that change takes all the work BSes need to do and more. Remorse is like karma coming to get you while you're still in this life and while you know it'll get you in your next one, too.
Many WSes just can't or won't bring themselves to do the work necessary to R. Many BSes, too....
Do I want to reconcile because I don't want to admit failure?
TL;DR - Don't choose R unless everything you perceive tells you your WS is a good candidate for R. Also, don't choose R unless you want to spend the rest of your life with your WS. You may choose to stay together for practical reasons, but that's not R - that's just practical.
One can 'work on the M' and test the WS to find out if the WS is a good candidate for R, but I think it's best not to commit to R until you know the BS is a good candidate.
One always, IMO, has healthy and unhealthy reasons for doing pretty much anything. IMO, it's normal and healthy to know that life is risky and to fear bad or even unexpected outcomes. But even though something like fear may be part of the decision to R, my reco is not to choose R unless you see R as a way of making a joyful life.
Same with D. D is the better choice if you no longer want to spend the rest of your life with your WS. It's the better choice if your WS is not a good candidate for R or if your WS simply won't do the necessary work, even if it took years to figure those things out.
But D is a worse choice if it's chosen as a way of avoiding the work of healing. No matter what your resolution is, IMO BSes who don't do their healing work doom themselves to a life of more pain and less joy than they can get.