The CO press release claims the flight is 7,337 *nautical* miles. The "mile" we're used to, and the one that FF programs use, is the statute mile (5280 feet). 1 nautical mile = 1.15 statute mile. 7337 nmi = 8443 mi. Looks like there's actually a 372 mile bonus relative to james' circle route figure.
The difference between measuring the great circle route at sea level vs. at 6 miles (~32,000 feet) above the ground is small. To be exact, it's the ratio of 6 miles to the earth's radius, or 6/3963 = 0.15%.