Oh, he has to return that kiss, definitely, and toss a hug into the mix as well. Although he doesn't try to keep hold of her at the end of it, or anything.
"Remember to talk to him about it. I mean it."
If he starts to suspect she's not telling his alternate about her problems, there might be a really crazy-ass intervention in the works. Bend your mind around the idea of your Evil Twin showing up to help you save your spouse from a danger you didn't even know was there, and see if it doesn't break!