the other possibility is that it is to be used as a chisel rather than a palstave axe.
this one (right) is so described at LibraryIreland
looks kinda big for that tho.
my favourite bronze axe was this style luristan axe (pic from internet)
the axe haft i've drawn in to show how it was mounted with the point in the direction of swing and the edge trailing, must have been good for penetrating any intervening armour. almost bought a replica a few yrs. back. kick myself for not having done so.