That's exactly what I was trying to say on my first posts, but the way you stated it convince me even more that Naruto was reacting to everyone, because it would be really OOC for Naruto to let his team down just for Hinata. It convinces me even more that he was sensing everyone's danger and not only her "call". She was there to make the transition between everyone's despair and Naruto's sensing of the danger.
I agree with AzuraWaters and Google. I don't think it would be OOC for Naruto at all. He is impulsive and not known to think things through. Someone needs him and needs him immediately (at least he thinks so), so he reacts to save them. That's entirely within his personality.
Besides, it's Sasuke that has things under control at the moment. I don't believe he is thinking (I think he is just reacting), but if he is, it's not hard to believe that he thinks Sasuke can hold the fort while he does this (as Sasuke actually is holding the fort).
The scene is written so Kishimoto could claim either direction and the scene would support it. Still, I think that the suggestion is that it he heard/sensed Hinata's plea and moved. Regardless of what truly made Naruto act, it's written to be pairing bait.
I'm really disapointed, I thought Tenten would have her little moment to shine sooner or later, since she had the tools Madara throw away, but well, too bad, another chance of Tenten shining moment left.
I;ve seen comments about trolling with NH, but if he's trolling I think this is where it is. He keeps teasing with TenTen relevance that never goes anywhere.
Maybe, just maybe, she will discover her last name.