Well actually, I was more under impression on you guys' take on Naruto's reaction. The reason why I explained it above is to understand the mixed emotion when it comes to that scene. We should be glad that Kishi took the sad moment of Naruto seeing Sakura hugging Sasuke in a serious manner. Because it was done comedy, that's just insulting. That said my question is not about the pairing not NS being canon but the way the scene is handled to see SS happening and Naruto's reaction being the same as the description above. Yes, that includes the girly run.
It would be terrible and OOC. He will probably show a similar reaction, like the hospital moment you mentioned.
Btw, I also laughed when Bolin cried. I don't mind Makorra because I don't prefer another ship, but the development could've been executed much better. That said..I just enjoy the irony of KorraxAsami. XD