Depends what build you have.
My build leans towards STR, so the 2 cut difference doesn't make much of a difference.
If you're used to a short weapon (like me with my bec), the Long axe will do you fine. LWA isn't much of a boost, in my personal opinion.
It's also cheaper by 3000g. So you'll be good with money.
Plus, if you like to horse around as a peasant like I do, the Long Axe stands out even less than a LWA