Final answer:
The Haitian Revolution is considered the event that had the most significant impact on global interactions between the European/Western world and the non-European/Western world due to its challenge to the institution of slavery and its effects on the Atlantic world.
Step-by-step explanation:
When considering which revolutionary event had the most significant impact on global interactions between the European/Western world and the non-European/Western world, we must assess the global influence and consequences of each of these revolutions. The American Revolution set a precedent for the theoretical principles of democracy and liberty, particularly the rejection of monarchical rule. However, these principles did not extend to all groups within society. The French Revolution similarly established a radical political model and impacted the sociopolitical structures within Europe. Still, the Haitian Revolution stands out as the most consequential for its unparalleled challenge to the institution of slavery and the resulting radical social change that affected the Atlantic world. The Haitian Revolution stoked fears and reactionary backlash among European and American powers, influencing their diplomatic and economic engagements with the non-Western world.
In contrast, while the Russian Revolution had profound impacts on 20th-century world affairs, particularly in the context of Cold War politics, it did not directly address the interplay between European and non-European worlds in terms of colonial structures and interactions the way the Haitian Revolution did. Therefore, based on its unique and radical challenge to the status quo and its effects on global attitudes towards slavery and colonialism, the Haitian Revolution is arguably the event that had the most significant impact on global interactions between the European/Western world and the non-European/Western world during the revolutionary era.