They are not identical but they do have a lot of parallels. Sakura has lost her temper with others as well such as Konohamaru, Sai, Ino, Kakashi etc. Also they both have/had a insecurity about their bodies Kushina's being her hair Sakura's being her large forehead. No one in Naruto is idental but sakura share traits with Tsunade, Rin , and Kushina
You are absolutely right. Naruto, Sasuke, and Sakura are just a newer verison of the Legendary Sennin Jiraiya, Orochimaru, and Tsunade. Everyone followed the same storyline with Naruto becoming a Sage, Sasuke becoming the enemy of Konoha, and Sakura becoming a Medical-Nin..
Only thing though just like thte Legendary Sannin Jiraiya always was flocking too Tsunade (who I may remind everyone acts just like Tsunade not Kushina) and never got it and was always shut down. Also I don't think that Tsunade was in love with Orochimaru like Sakura is with Sasuke but hey some things change but not all of it has.
They all shared the same life path. Naruto and Jiraiya are/was trying to saved their friend Sasuke and Orochimaru. Naruto/Jiraiya were madly in love and always flirting with Sakura/Tsunade but always ended up with a fist in their faces.
I just think that Naruto and Sakura are and will stay really good friends like how Jiraiya and Tsunade has ended up..