1h/2h weapon damage skills vs specific weapon skills

My google-fu is letting me down. I can't seem to find an answer to this, just links to builds.

Looking through the example builds, I see they are focused not just on a play style but a specific set of gear too. For example, speccing into weapon (sword/mace/axe) damage, instead of 2h damage, or 1h damage.

I have been speccing into 2H damage so I can use whatever weapon tickles my fancy as I go. I've been chewing through the content pretty easily so far (except Innocence).

Is this a viable spec choice later on or is it vastly superior to pick one weapon type and spec for that?

"or is it vastly superior to pick one weapon type and spec for that?"

Look at your passive tree.