Yes, that is true. The Iroquois Confederacy, particularly during the French and Indian War (1754-1763), aligned themselves with the British for several reasons, and the points mentioned are valid:
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Trade Relationships: The Iroquois had established long-standing trade ties with British fur traders. They were concerned that siding with the French might jeopardize these relationships and their economic interests.
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Rivalries with Other Tribes: The Iroquois were often in conflict with tribes allied with the French, such as the Algonquin and Huron tribes. Joining forces with the British allowed them to counteract these rivals and maintain their influence and territory.
These motivations reflect the complex geopolitical landscape of North America at the time, where alliances were often based on economic interests and historical rivalries.