IMO, the GM is a center fed 5/8 wave radiator, and the technical indications shows an improved free space pattern over a standard 5/8 wave ground plane. That is the advertised gain advantage.
Like you suggest, in my operations here in Houston I don't see a real benefit with my GM over my Starduster at almost the same height, locally or with DX. I've been comparing them over a year now, but for me all my antennas perform about the same and guys don't like to hear that.
I thought you were doing your radio work like field day work, and thus out of convenience your install was pretty low. How high is your mount?
If you live right on the water and you want to see some real improvement in DX performance, then install a real beam h o r i z o n t a l.
Aluminum takes a real beating that close to salt water and so would a rotor, but that would be my suggestion. Maybe a quad design with some good copper wire that doesn't stretch much, fiberglass and stainless parts would hold up better, but then you have wind to deal with too.
Good luck,
I believe the GM shows improved gain at 0degrees in free space, 0degrees over ground won't happen, any radition at 0degrees is cancelled by ground reflection in the fresnel zone! That said you're in business at any angle greater than this.
As for the horizontal beam over water, it is bound by the same rules that apply over real ground, height, for a beam to have a low take off angle it has to be high relative to its wavelength, this is why the vertical is such a good performer by the sea and the default choice for island DXpeditions