Well yeah that is a given, but I just have issue when it comes to Naruto's double standards regarding to Boruto and Kawaki's emotional needs mainly. NAruto as far as I remember neglects Boruto and tells him to suck it up when Boruto tells him he wants his father to be more involved in his life, but Kawaki Naruto sounds like he'll DROP EVERYTHING and shower him with kisses and dote on him every second he can get. That extended to Naruto's reaction to Boruto potentially being dead was casual and surprisingly nonchalant. Whereas if the roles were reversed Naruto would probably slap the kitten out of Boruto and disown him because quote "Kawaki is his brother" unquote. At least that's the impression I get so I meant if anything about that has changed at all or if I am off the mark.
Naruto, while it is hard to gauge his emotions because of the art, was suppose to be in shock. While clearly going over how he is suppose to forgive someone that just killed his son. Which he is suppose to do according to his philosophy he preaches to everyone. Its not, "whelp Bolt is dead but that's ok I liked Nail better," but more, "oh god Nail just killed Bolt. My son is dead. They were suppose to be like brothers to each other. Can I forgive him? I have to. That's what I preach everyone else do. Both of them were brothers so it was fine. Right. Right? Shup Up Shikamaru! Oh Thank God! Bolt is alive! Crisis averted. Forget about that moral dilemma; forgive instantly. Ignore Shikamaru's warnings that, this kid is a powder keg ready to go off. That understanding and hugs every once and a while isn't going to cut it."
He does bond with children that are not his own more easily. But I think that in part due to Bolt's hostility towards him. You can only be hostile towards someone for so long, before they just keep their distance, and avoid you. It helps he supposedly see himself in Nail...but again he is Sasuke come again.