Inosuke survives throughout the manga. The story doesn't have his death as part of the plot. His character remains active and plays a significant role until the end.
Well, the plot could involve Naruto being reincarnated as Douma. He would have to deal with Douma's memories and powers. Naruto, having his own moral code, might struggle with the darker aspects of Douma's character. He could use his ninja skills to fight against the enemies that Douma had in his world, but in a more heroic way than Douma did. Maybe he'd form new alliances with the characters in Douma's world and bring a new perspective to the power dynamics there.
Inosuke doesn't become a Hashira in the manga. The story progresses with him having other significant experiences and achievements instead of achieving that specific position.
Inosuke doesn't die. The author keeps him alive to continue his adventures and growth. His character's resilience and fighting skills enable him to avoid death.
In the Demon Slayer manga, Inosuke survives. The story doesn't have his character meet a fatal end. He plays an important role throughout and remains alive at the conclusion.