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Well, I explained why. Trust me, dude, at the end of the day, that girl would have walked away without another word whether you took their picture or not.
True, but he shouldn't have refused to take the group photo afterwards... by taking a picture with her, he broke the ice in a funny way, but then refusing to take the picture of them just incorrectly used the cocky/funny approach.
After taking the picture of you and the girl, you should have just said (jokingly) "Aww fine, I'll take a picture of you and your friends, but you owe me one" or something like that. Her asking you to take the picture is an IOI (she could have asked anyone), and then you could have taken her up on what she owed you with a dance later or at least used it to re-engage after a while...