Final answer:
The false statement about Saint Domingue during the revolutionary period is that the British permanently seized the colony from France. The Haitian Revolution involved a complex struggle for independence and the abolition of slavery, but it did not result in a British takeover.
Step-by-step explanation:
The statement that is not true about Saint Domingue (Haiti) during the revolutionary period is "The British permanently seized the colony from France." While it is true that the British and Spanish landed troops in Haiti with the intention of weakening France by depriving it of revenues from Haitian sugar and to prevent the slave rebellion from spreading to their own colonies, their military intervention did not result in the permanent seizure of the colony. The Haitian Revolution, which began with a slave uprising in 1791, led to the declaration of the free republic of Haiti in 1804 after a complex and prolonged conflict which included civil war, foreign intervention, and the eventual abolition of slavery by the French colonial authorities.
Slavery in French colonies was abolished by the Jacobins in 1793, a radical phase during the French Revolution, and local officials in Saint-Domingue followed with an emancipation decree. This abolition of slavery did not equate to an immediate peace, as the colony was embroiled in conflict with various factions and foreign powers until Haitian independence.
In the case of the colony's economic impact, it is true that the wealth from the French colony made it a significant source of revenue for France, which did indeed make it difficult for France to willingly accept Saint-Domingue's bid for independence.