The H-1 should more or less co-witness with the low mount. Mine's on the Aimpoint LRP mount with the spacer removed, but if I'm not mistaken that puts it at the same height as the stock Aimpoint micro low mount.
Full disclosure - I haven't zeroed the gun yet and the photo wasn't taken with everything perfectly lined up, but you can see how nicely the dot sits on top of the front sight post.
Of course, if you
want to, there's nothing wrong with mounting it with an AR-height high/lower 1/3rd mount and zeroing it from there, but I personally prefer it co-witnessed, as the rear aperture helps reduce the "comet" effect I get due to my slight astigmatism.