Libby, I agree with Mila about how H's view children in this. I heard much the same from my H as he was leaving. He said the children would be fine. If you thought I was miserable before, imagine what it would have been like if I stayed when all he wanted was to be with ow.
Your H was probably shocked when your D told him he made a mistake because he possibly realized that gosh, maybe this isn't all about me, my children are affected by my actions.
Good for your D for being able to tell her father her feelings. Be proud of the strong young woman you've raised, Libby!
It will be interesting to hear what his reactions are toward the children when he visits next.