I was under the impression that Gränsfors Bruks and Wetterlings were both owned by the same gentleman, made in the same factory by the same workers these days?
I own a hunter's axe by both makers. Both are relatively old so they are pre-merger and yes, of mine the Gränsfors is the finer of the two, but comparing the two modern versions recently at a gun and knife show, (both of the 19"-20" variety), I did not see $100.00 worth of difference between the two unless you are a professional moose hunting guide and you've mastered the art of butchering moose or elk with your axe and you plan on doing it full time for the rest of your life.
As I understand it, the steel in each is now identical. There are slight differences in the handles, a slightly different curve and the Gränsfors has a nice brand that is about the equivalent of a hood ornament, but other than that I am not sure the average user would notice one bit of difference when chopping. Oh, and maybe the hole drilled in the Wetterlings is slightly larger if I remember correctly. Still, each head was almost identically shaped and the feel and balance of the two were so similar in terms of weight, etc., that paying more than double the price for the Gränsfors was determined to be a thing of excess, of luxury, imho.
BTW, I would definitely go with the hunter's axe minimum and the longer 20", not the shorter 16" handle, for the OP's stated needs as a minimal cabin axe and all around utility tool. That brings up another point. If you intend to do any skinning with the axe, which I have done and it works quite well, I would not advise you doing any hammering with a hunter's axe as it would deform the poll/butt and render it far less slick in terms of butchering. The poll on both designs is intended to remain as is - it is not intended to be used to pound nails or stakes or anything along those lines. Just a fwiw.