I did the two by starting at Roaring Brook, up Helon Taylor, across the KE over Baxter Peak & then to Hamlin & down Hamlin Ridge & back to Chimney Pond & then down.
A group from an AMC Chapter did loop in other direction:
Pro's to our direction, not that anyplace on Katahdin is a good spot in an afternnon T-storm but KE IMO has to be the worse place, especially when you consider wind sometimes comes with the light & sound effects too. When on Hamlin, you often have very little company & the way down while a ridgeline & rocky, it requires less care (when tired) & you can look around & see the profile of the KE - on a good day
Con's: Now BSP is more wild & less traveled than Washington, (since no road & train + far away from Boston, CT, NY...) BUT all the day hikers get to the gate at the same time, most trails are close (by a mile or so) to the same distance & most hikers plan on climbing Katahdin, therefore most get to the top close to the same time. when we did the loop it was quite crowded, we stopped for lunch just off the trail on some rocks near the saddle
(a couple of thru-hikers were smoking on the top too - they had not smoked for over 2000 miles & that was their reward, they earned it since the two of us really hated 2nd hand smoke, we just moved to another spot - everywhere up top has a great view)
That said, if you do the loop by going up Hamlin, you still get limited company on Hamlin since it's the little brother & by the time you get to Baxter Peak, most people are on their way down.
So if no T-storms forcasted, do Hamlin first, if chance do KE first, if T-storms are a certainty, they won't let you up.