So: which do you prefer, for what tasks, and why?
I switched to man made materials for both my rifle stocks and my axe handles. I like the old fashion look and feel of wood to be honest, and nothing looks sharper than a rifle with a nice polished hardwood stock but...
I learned the hard way that in harsh outdoor conditions wood can and will warp. You can prevent it to some degree by constantly wiping off moisture and applying oil to the wood but when you go from rain to snow to sun and then back to rain all in the same day(typical Eastern Canadian weather) then it becomes a big pain in the @#$.
A new wooden axe handle will hold up for a while under adverse conditions but
eventually it will warp or crack or come loose. Yes you can replace the wooden handle under field conditions, but it won't be nearly as confortable or safe.
Fibreglass on the other hand, does not warp, or twist under even the most hash enviromental conditions and you would have to go out of your way to abuse it to the point of breaking it during the normal use of what an axe is intended. In a long term survival situation you will die of old age before a fibreglass or composite handle wears out.
I don't know what the loggers use out here to be honest, but I am sure wood has advantages over fibreglass depending on who you ask. I am only speaking for myself. I take care of my gear but I also put it through hell constantly. I think a wood handle is fine for short camping trips and the like but if you want years of worry free rugged use then fiberglass is they way to go.