This is common but it is actually well known and self-evident as a sailor that this is a much longer way to get across the Pacific Ocean than what is known as the Great Circle. Getting there through Hawaii is fairly close to a straight line
On a sphere, a great circle is a straight line. 
There are multiple meanings. In regards to a distance travelled, a great circle is a geodesic. Nice attempt at discrediting the gentleman though.
No, there are no multiple meanings. Whether you call it a great circle route or a geodesic (which by the way are exactly the same thing on a sphere) it is a straight line.
I feel the gentleman essentially discredited himself. If you have a real point to make that suggests I'm wrong, please be my guest and make it.
Also, you seem to be saying that getting from point A to point B is quicker if you travel along a direct path (as you did coming back) rather than a zig-zagging course that hits lots of ports (as you did on the way down). I think you'll find that a direct path is always shorter than a zig-zagging one, as a matter of common sense and independent of the actual shape of the Earth.
Did you miss the part where he said that his journey to Japan was mostly a straight line? Zig-zagging is never mentioned. Also, even if he stayed in Hawaii a week it still would not explain the speed of the return trip.
Zig-zagging was very much implied. The OP explicitly states that they hit a number of ports
including Hawaii:
One of the ports we hit on the way there was in Hawaii.
Perhaps you should read the passage more carefully before accusing others of not reading it carefully enough, eh?

I wasn't thinking about layover time, but of course you're right; if they spent any time at the ports themselves that adds to the overall amount of time the trip took too.