As for the velocity differential the S can be faster if it has a lower drag coefficient, an SR-71 has a lower thrust ratio than an F-15 or F-22, but it is a much cleaner aircraft. This wouldn't explain the higher climb rate however, unless it's supposed to be for initial climb rate as opposed to sustained climb, in which case the lower powered S would initially climb faster due to higher initial kinetic energy. If this is so the S might make it to say 10km quicker but the F would pass it up and make orbit first. Or it could just be another goof(retcon?, like the size of the factory satellite).