In Matthew Karp's This Vast Southern Empire, he describes how the Haitian Revolution and the example posed by Haiti was viewed as a distinct threat by American slaveholders who ran American foreign policy in the 19th century. The fear of such a revolution spreading was palpable, and American slaveholders tried to prevent news of the Haitian Revolution reaching the ears of American slaves. American slaveholders took a distinct foreign policy interest in protecting and prolonging slavery in the Atlantic world. They were adamant that another Haiti could not be allowed to happen, and when the British Empire abolished slavery, they felt themselves under siege, and became even further adamant that Cuba and Brazil, the two territories where slavery remained, should not turn abolitionist.
The British Empire, which embarked on a slow, peaceful (not that there's anything peaceful about slavery existing at all), and gradual abolition of slavery in its Caribbean territories in the early 19th century viewed the Haitian example as something to be avoided. And they believed that in territories like Jamaica that were, like Haiti, over 90% black slaves, revolt was practically inevitable so it was best to end slavery peacefully while they still had the chance and maintain their political and economic control over the island rather than risk losing it, as France did over Haiti.