I have tried the 12th harmonic closer to the sounding board, but find it less resonant, because the resonating length ends at the neck, not the board. I wouldn’t call it more male! I thought of you today, because I had changed all my g strings, so the tuning became quite interesting and gave the harp a new coloring.
Harmonics are among my favorite things on the harp, though I find it hard to play an entire piece made of harmonics alone. I have used the 12th harmonic in a few of my pieces.