R.I.P logicYou are crazy if you think base Itachi is doing a thing to Tsunade or Sakura. The same Itachi who ran from Jiraiya when he had backup. Sakura is nearly invulrable to non visual genjutsu now, as seen in the last.
kunerai genjutsu is fodder, Sakura wipes the floor with her. Maybe in the chunnin exams she could've used it.
Its a manga fact and databook fact that Sakura's genjutsu resistance is better than Sasuke's part 1 sharrigan.
He said it himself and the databook reinforces the fact.