The comment may be technically true (I emphasize "may"), but it has nothing to do with white people being white, nor with Christianity. It might have something to do with Europe having so many small countries over the centuries warring with each other for advantage, and thus there was an incentive to embrace technology to gain an advantage over their immediate and hostile neighbors. Or so I have read.
You say that as if it wasn't true all over the entire world for millennia. Civilizations in Africa fighting each other had no incentives to embrace technology? I think the "Eurasia is wide, the Americas and Africa are narrow but tall so plants good at one latitude were not able to spread very far in any direction" excuse for white tribes being the most successful makes the most sense,
Whites (Western Civilization) was really were not dominant in the way we are discussing until after the end of the Middle Ages. Do you disagree? As nation states began to form, the need to competitive advantage (or at least parity) became ever more pressing. In the Middle Ages, some think the Islamic world was more cultured and advanced (yeah, I know, white - but not Western). I read somewhere that Britain eventually won the footrace, because it could borrow money at lower interest rates than its competitors, due to being an island, and viewed as relatively more stable. Everything is connected to everything else.