Ken, interestingly in the booklet Gränsfors puts out titled Ancient Northern European Axes

http://www.gransfors.us/AncientAxeBook.pdf

It pictures and refers to the Bayeux Tapestry, and under their own description of this ax they characterize its use as that of smoothing planks for house and boat construction.

What you ask does make sense, especially for light axes, but I may not be the right hewer to ask, I remove ninety percent of waste with a heavy Jersey pattern felling Ax, and have always seen broad axes as finishing tools.

I only own one Gränsfors, a used single bevel that belonged to DEW another lefty. I had an abundance of axes by the time they came onto the scene.