The lumberjacking modifiers aren't as effective as anatomy or tactics modifiers or chivalry or bushido, so most people leave it off of the already tight warrior templates.
The reason that people use the axes anyway is that the ornate axe has the highest amount of damage over time than any other weapon as long as you can swing at the maximum swing speed. At less than the maximum swing speed, people should choose other weapons, but some people like the ugly-axe anyway. It hits HARD.
The advantage of fencing is you can use less dex and still be just as good as a max-dex fencer, leaving more room in your template for strength or intelligence. The ability to chain special moves is very useful in both PvM and PvP. But that can also be countered by using a high mana leeching weapon.
The advantage of mace fighting is that mace weapons and power scrolls tend to be a lot cheaper than fencing, swords or archery weapons and scrolls, and the diamond mace is far-and-away the most powerful one handed weapon.
