Eh not really, the entire reason they lost the island was the Corsicans hating the Italians and leading an independence war. Corsicans tend to still dislike Italians.
The history of Islam would be very different. North Africans could also maybe have a chance to explore the new world. Maybe the lack of assistance of the french would have made it difficult to expel all Muslims and Jews from Spain. That difference in culture might have impacted how acceptable it was for Spain to brutalize the peoples of the new world. With French colonization impossible, perhaps Germany would have colonized Africa in its place, for they have alot more coastline. Unfortunately Belgium and the UK still exist so, all that bullshit would probably still happen.
I don't know if this would be a "better" world, but it would be interesting to see how it played out.