To everyone
Everyone is taking Kakashi's side for granted. No one here seems to be following Sasuke's POV on Sakura's feeling. He confirmed it himself that Sakura does not love him on a romantic basis and that she was being blinded by her make-believe fantasy out of true love or it was a false confession to persuade him not to betray Team 7.
Don't go lecturing how Sasuke is so much of a sociopath, likewise Sai cannot understand human emotions.
Sasuke has the most powerful dou-jutsu in the manga that even he could make the Yamanaka Clan's jutsu look like a mere child's play. Sasuke was on the brink of attempting to murder Sakura for the fourth time in the manga. Sakura's final words, "I love you Sasuke-kun. Please come back and can be together just like the good old times," had reached out to him profoundly. And for the first time since part one, he saw a very dim glimpse of his lost love, which Hagoromo was referring to.
Now that I'm going to mention the word cares/cared and show kindness, everyone (again lol) always insinuate and over contemplate that word or phrase a suggestion of concrete romance. A news flash for all you, caring and showing kindness essentially does not really define romance. Tsunade cares and show kindness to Naruto, likewise Shikamaru to Ino and Shino to Hinata. In this story, it's mostly portray of family resemblance and cherished memories as Tsunade saw Nawaki (her little brother) in Naruto.
This is what Sasuke might have seen in Sakura. And I'm very sure of it that what he saw was strands of Mikoto Uchiha (his deceased mother) affection radiating inside of Sakura's that has been poisoned by stupid romantic fantasy. It must be aggravating and distraught that he had to endue all her fangirling tantrums. From a male's in which I am, it's like having your mother or sister trying to get into your. Wouldn't you feel like regorging out your guts?
Sasuke had every purpose of casting Tskuyomi on Sakura to put her out of her misery, but trembled as you can see his left foot where possibly chakra was being expelled out from. He downgraded his genjutsu to show mercy. Him Chidoring Sakura through the chest and smirking is not a show or ill intent. He's simply helping her to resolve her fantasies, whatever is left of it. To give you a solidified evidence, there are moments in Team 7 that Sakura was not being a biased lusting fangirl when on occasions she scolded both her teammates. The land of waves, the rivalry was starting to escalate, resulting in a food eating contest that they were racing each other and Sakura had scolded them to slow down or else they would choke on their food. These are the good old times Sasuke spent with Sakura that he could have cherished about Sakura.
As we have seen through part one, its not her facade, but what's inside of her that intentionally leaks out is her true feelings. She hated Naruto from the start, but when dire situations call for help, her feelings overwhelms her without of her knowing. She was going to forfeit the Chuunin Exams to protect Naruto's dream and was in the process of forfeiting her chakra to perform the CPR and reflected about how she wants Naruto to become Hokage. As we all see her a girl that is believed to be romantically in love with Sasuke shows a different side of herself when she's not too busy asking him out on dates, and acting like a rabid fangirl that only Sasuke seemed to take notice in her subtle change of demeanor of platonic nature, which he can relate it to his mother. I'm sure there are off screen moments when he and Itachi was being scolded by Mikoto in his childhood days and this is something that he can relate to and reflect those moments for a life time.
There are hoping that all this will result in their pairing. Sasuke is not related to Sakura by blood. It's plausible, but I won't let characters like Kakashi and Sasuke dictate the outcome of Sakura's feelings. Only she can proclaim, rather or not Sasuke's words hold any merit.