And spend the last decade of his life under the care of various quack physicians hired by his sister.
Does a "Nietzsche cult" still develop in Germany? I assume he probably doesn't develop the respiratory problems that eventually took his life in 1900, given a more active existence. Is a Nietzsche that survives into the twentieth century able to distance himself from German nationalism and the anti-Semitism he abhorred? What effect does this have on German fascism later on? And how are the modern philosophical schools that were heavily influenced by him OTL - phenomenology, existentialism, postmodernism - affected?
I think that the biggest change philosophically is that Freudianism never catches on. A lot in Freud was repurposed (and distorted, imo) from Schopenhauer and Nietzsche, and that'll be more difficult to do if Freud has to acknowledge a living Nietzsche as a primary influence.