It depends on the fruit but many of them will last longer in the fridge. Same goes for cured meat and jams. Especially with jam you may not eat it often enough to stop it from molding at room temps.
I get making fun of stupid American habits is an EU pastime, but this is some pretty dumb stereotyping. There's rational reasons behind what most people are doing, even if it's a little different from the habits where you live.