Is there any research on the effect of apparent gravitational field strength on sports? I’d be willing to bet that rocketry and artillery takes account of 50mm/s2 difference at the equator. While the difference is obviously tiny, the margins in modern sports are also miniscule.

Do Fijian rugby games see a 0.5% increase in longest drop goal distance?

I have no idea about the 0.5% increase in drop goal distance, but tongue-in-cheek, I would say only 0.5% as many attempted drop goals - given the Fijian team's emphasis on a ball-in-hand style of play instead of kicking the ball away.

On a slightly related note, I always found the games played in Pretoria in South Africa fascinating. It's 1350 m above sea level, so kicks all go 10% to 15% further (my estimate) which makes quite a difference when there are players kicking penalties from over halfway even at sea level.