Having followed this thread since it started and played around for hours on Google Flights, I think I know the answer to this question but I'll ask anyway: Is there any way whatsoever to get something between 1 and 24 hours in both Micronesia and the Marshall Islands using this fare construction? I'm visiting every country in the world and these two are expensive to reach, but I think are worth longer than the 40-60 minutes you might get stepping off and back on the same plane. Only TKK seems to get an "extra" flight the day before the Island Hopper but the fare jumps up when you try and force this stop.
Cheers