The initial Spanish conquest of the Inca empire by 168! Spaniards was not a question of disease as much a war of succession the Incas fought amongst themselves that Pizarro knew to exploit. Throw in horses, steel, and gunpowder and you have a one-sided affair.
Actually this is another good counterexample! As I recall, Incas lost battles against the Spaniards where they had something like 100x the numbers. It's true that they were initially divided, but they quickly united against the Spanish--and it didn't really help. The technological advantage was insurmountable.