Tsunade can heal him even without the hype.Hype Tsunade can, so can hype Hashirama
Sorry to bust your bubble, but Tsunade has ZERO feats in healing degenerative diseases. The reiterative throw ups/coughs of blood Itachi showed, heavily imply the pressence of a progressive disease like Tuberculosis or Pulmonary edema(hence why he used to grab his chest when in pain), the most Tsunade could do is probably slowing it down, but there is no point to it, since Itachi was already half dead when we noticed, too late for Tsunade to do anything.Tsunade can heal him even without the hype.
- She was able to heal both Kakashi and Sasuke from the effects of Tsukuyomi
- She was able to heal Rock Lee
- Orochimaru said that Tsunade can heal his arms, despite the fact that the his arm's soul was sealed by the Shinigami
And where you read that Hashirama was a medical ninja? As I remember he could only heal his own injuries.