i've seen a couple of photos with the flat end down, and some where the grip looks more central where it wouldn't matter. it's possible that the one you have has the grip at the physical balance point rather than the geometric. how does it feel in the hand either way round if you move with it? the narrow top section does seem to be an afterthought. is it thinner than the rest? that would affect balance.
i'm only familiar with symmetrical roman and viking shields where the hand grip is at the geometric and physical balance centre rather than ones like this which are vertically asymmetrical.
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