I am only going to say this once because in all honesty, it's the only way I see it as of now.
Here is what I have to say on the matter on who Sarada's real mother is and why I express my disbelief as a result.
First off, if Sakura is Sarada's real mother, then why is it that there are no records of her birth in Konoha?
Second, why would Sasuke simply abandon his daughter while she was still a baby and not come back. Let's say he was too busy and always on missions shall we? As far as we know, he never even bothered to write letters to his daughter let alone his wife, Sakura for the past how many years?
Third, how come Naruto told Sarada about her traits, yet conveniently left out some important stuff Sarada is curious of that doesn't take two eyes to notice so to speak?
The fact that Naruto was being his Part I self, he might still later on give us all of the details that we are hoping for or maybe Sasuke will.
Either way, this whole chapter just created a massive plothole and questions about Sarada's origins still unanswered and to be fairly honest, Karin most likely has the biggest connections to along with Sasuke and is most likely to be Sarada's mother as a result.
At least that is what would make the most sense at this point since everything Kishi has built up so far when it comes to Sarada and Sakura does not quite add up.
Maybe like people are saying, Naruto was trying to comfort Sarada to which anyone can see why. Hopefully Sasuke, the deadbeat father will debunk everything for good either in the next chapter or the one after that.