How can you read / watch the arc where Sakura is basically unable to kill Sasuke because she still has feelings for him and then say she has none?
As in my previous posts:
Not being able to kill someone =/= being in love with him
Of course Sakura has strong feelings
about Sasuke, since they were companions for a long time-- of course she's still bitter about him leaving, of course she still remembers when they were comrades, and her feelings when she was younger. Naruto or Kakashi would have trouble killing Sasuke too-- that doesn't make them gay in love with him.
Naruto even acknowledges Sakura is still in love with Sasuke. She's certainly not half as obsessive about the guy in part two, but she pretty obviously still has feelings for him.
Naruto
mistakes Sakura's feelings, thinking she loves Sasuke still. Naruto is incredibly dense, and Kishi has explicitly shown us him being dense to Sakura and her feelings (for him) ever since the time jump. He's completely out of touch with her real feelings.
That's why Sakura goes berserk, completely pissed that he thinks he can know her feelings, and assumes he's right even when he's wrong. The part of her speech when she's absolutely livid with Naruto thinking she still likes Sasuke was 100% genuine.
Naruto also realizes he can't argue the point further, which is why he ignores it and says "I don't care about our promise, or your feelings. I'm saving Sasuke because I want to."