I really don't know, but I would guess that much of the moisture leaves the cigar through the foot. Storing at an RH above 65% makes the wrapper non-porous, so the cigar is wetter near the head until it gets a chance to dry out all the way through.
Again, it's just a guess, but I have experienced a marked improvement in a cigar, especially the last half, after it rests a while. You may want to try dry boxing before smoking the cigar also. Just put the cigar in an unhumidified box for a day or 2 before you smoke it.
As for cutting it in half, don't do it. The part near the head will smoke ok but the other half will just unravel.
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