Hulking size doesn't benefit fists and weapons. I believe the mentioned skill set to be a glitch in the rulebook.
According to the trappings that are listed, hulking size effects Endurance (extra stress), Athletics (for defense and sprinting), Might (+2 on breaking and lifting on top of a possible supernatural strength skill), Intimidation, Stealth and numerous other skills that relate to the use of objects that are meant to be used by humans.
However: Somebody with Hulking Size is likely to have at least Inhuman Strength, so you'll get the boni from this. I think this is where the glitch might have originated from. If you like you can interpret the "Everything is Small" trapping like the "[...] Blows" trappings from the Strength-Skills. Actually it makes a lot of sense to me to do that, even if it is not indicated by the rules.